{"id":85387,"date":"2024-11-25T14:15:45","date_gmt":"2024-11-25T10:45:45","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/"},"modified":"2024-11-25T14:15:45","modified_gmt":"2024-11-25T10:45:45","slug":"the-birthday-problem-probability-in-action-2a6d","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/","title":{"rendered":"\u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f: \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0631 \u0639\u0645\u0644"},"content":{"rendered":"<p>Summarize this content to 400 words in Persian Lang<br \/>\n              \u0633\u0644\u0627\u0645 \u0628\u0686\u0647 \u0647\u0627  <\/p>\n<p>\u0645\u0646 \u0627\u062e\u06cc\u0631\u0627\u064b \u06cc\u06a9 \u0645\u0642\u0627\u0644\u0647 \u062c\u0627\u0644\u0628 \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u062e\u0648\u0627\u0646\u062f\u0645 \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f\u060c \u0648 \u0641\u06a9\u0631 \u0645\u06cc \u06a9\u0646\u0645 \u0642\u0635\u062f \u062f\u0627\u0631\u0645 \u06cc\u06a9 \u067e\u0633\u062a \u0648\u0628\u0644\u0627\u06af\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u0645.  <\/p>\n<p>  \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f \u0634\u0627\u0645\u0644 \u0686\u0647 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a\u061f<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u0634\u0645\u0627 \u062f\u0631 \u0627\u062a\u0627\u0642\u06cc \u0647\u0633\u062a\u06cc\u062f \u06a9\u0647 \u0641\u0642\u0637 23 \u0646\u0641\u0631 \u062f\u0627\u0631\u062f\u2014\u062f\u0631 \u0648\u0627\u0642\u0639 \u06cc\u06a9 \u0627\u062a\u0627\u0642 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0634\u0627\u0646\u0633 50-50 \u06a9\u0647 \u062f\u0648 \u0646\u0641\u0631 \u0627\u0632 \u0634\u0645\u0627 \u062a\u0648\u0644\u062f \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0631\u06cc\u062f.  <\/p>\n<p>  \u062f\u0631\u06a9 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u067e\u0634\u062a \u0645\u0633\u0626\u0644\u0647<\/p>\n<p>\u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u0634\u0627\u0646\u0633\u06cc \u0631\u0627 \u06a9\u0647 \u0627\u0641\u0631\u0627\u062f \u062a\u0648\u0644\u062f\u0647\u0627\u06cc \u0645\u0634\u0627\u0628\u0647\u06cc \u062f\u0627\u0631\u0646\u062f\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0627\u0645\u0627 \u062f\u0631 \u0648\u0627\u0642\u0639 \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u06cc\u0646 \u0634\u0627\u0646\u0633 \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u0627\u0633\u062a \u0647\u06cc\u0686 \u06a9\u0633 \u062a\u0648\u0644\u062f \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0645\u06cc \u06af\u0630\u0627\u0631\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0627\u0632 1 \u06a9\u0645 \u0645\u06cc \u06a9\u0646\u062f (\u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u0628\u0647 \u062e\u0627\u0637\u0631 \u0628\u0633\u067e\u0627\u0631!).  <\/p>\n<p>  \u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f\u061f<\/p>\n<p>  \u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0633\u0631\u06cc\u0639:<\/p>\n<p>\u0627\u0648\u0644\u06cc\u0646 \u0646\u0641\u0631 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u0632 365 \u0631\u0648\u0632 \u062a\u0648\u0644\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0634\u062e\u0635 \u062f\u0648\u0645 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0631\u0648\u0632 \u0627\u062c\u062a\u0646\u0627\u0628 \u06a9\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0631\u0648\u0632 \u0627\u062c\u062a\u0646\u0627\u0628 \u06a9\u0646\u0646\u062f 364 \u0631\u0648\u0632 \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628<\/p>\n<p>\u0646\u0641\u0631 \u0633\u0648\u0645 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0647\u0631 \u062f\u0648 \u062a\u0648\u0644\u062f \u0637\u0641\u0631\u0647 \u0631\u0648\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0628\u0627\u06cc\u062f 363 \u0631\u0648\u0632\u060c \u0648 \u0628\u0647 \u0631\u0627\u0647 \u062e\u0648\u062f \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<p>  \u0634\u06a9\u0633\u062a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644<\/p>\n<p>  1. \u0645\u062c\u0645\u0648\u0639 \u0646\u062a\u0627\u06cc\u062c \u0645\u0645\u06a9\u0646<\/p>\n<p>\u0627\u06af\u0631 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f n \u0627\u0641\u0631\u0627\u062f \u0648 365 \u0631\u0648\u0632 \u062f\u0631 \u0633\u0627\u0644\u060c \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u062a\u0631\u06a9\u06cc\u0628 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u062a\u0648\u0644\u062f: 365n<\/p>\n<p>  2. \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628<\/p>\n<p>\u062a\u0639\u062f\u0627\u062f \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628 \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:365 \u00d7 364 \u00d7 363 \u00d7 &#8230; \u00d7 (365 &#8211; n + 1)<\/p>\n<p>  3. \u0627\u062d\u062a\u0645\u0627\u0644 \u0639\u062f\u0645 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/p>\n<p>\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u06cc\u0646\u06a9\u0647 \u0647\u06cc\u0686 \u062f\u0648 \u0646\u0641\u0631 \u062f\u0631 \u062a\u0627\u0631\u06cc\u062e \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9 \u0646\u0628\u0627\u0634\u0646\u062f\u060c \u0646\u0633\u0628\u062a \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628 \u0628\u0647 \u06a9\u0644 \u0646\u062a\u0627\u06cc\u062c \u0627\u0633\u062a:  <\/p>\n<p>P(No shared birthday) = (365 \u00d7 364 \u00d7 &#8230; \u00d7 (365 &#8211; n + 1))\/(365n)  <\/p>\n<p>\u06a9\u0647 \u0647\u0645\u0627\u0646 \u0627\u0633\u062a:P(No shared birthday) = 365! \/ ((365 &#8211; n)!  \u00d7 365n)<\/p>\n<p>  4. \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/p>\n<p>P(At least one shared birthday) = 1 &#8211; P(No shared birthday)<\/p>\n<p>  \u0646\u062a\u0627\u06cc\u062c \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647<\/p>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0646\u062a\u0627\u06cc\u062c \u0634\u06af\u0641\u062a \u0627\u0646\u06af\u06cc\u0632\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:  <\/p>\n<p>\u0641\u0642\u0637 \u0628\u0627 23 \u0646\u0641\u0631\u060c \u0634\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u06cc\u06a9 \u0634\u0627\u0646\u0633 50 \u062f\u0631\u0635\u062f \u0627\u0632 \u0645\u0633\u0627\u0628\u0642\u0647 \u062a\u0648\u0644\u062f<\/p>\n<p>\u0628\u0627 30 \u0646\u0641\u0631\u060c \u06cc\u06a9 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u0634\u0627\u0646\u0633 70 \u062f\u0631\u0635\u062f.<\/p>\n<p>\u0628\u0627 50 \u0646\u0641\u0631\u060c \u0622\u0646 \u0627\u0633\u062a \u0627\u062d\u062a\u0645\u0627\u0644 97 \u062f\u0631\u0635\u062f.<\/p>\n<p>  \u0686\u0631\u0627 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u06af\u0627\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0647\u0645\u06cc\u062a \u062f\u0627\u0631\u062f\u061f<\/p>\n<p>\u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0641\u0631\u0627\u062a\u0631 \u0627\u0632 \u062a\u0648\u0644\u062f \u062f\u0627\u0631\u062f! \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0648 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0647\u0634.  <\/p>\n<p>  \u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc<\/p>\n<p>\u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646: \u062a\u0648\u0627\u0628\u0639 \u0647\u0634 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc (\u0645\u0627\u0646\u0646\u062f SHA-256) \u0628\u0631\u0627\u06cc \u062a\u0636\u0645\u06cc\u0646 \u0627\u0645\u0646\u06cc\u062a \u0628\u0627\u06cc\u062f \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0642\u0627\u0648\u0645\u062a \u06a9\u0646\u062f.<\/p>\n<p>\u06a9\u0648\u062a\u0627\u0647 \u06a9\u0646\u0646\u062f\u0647 URL: URL \u0647\u0627\u06cc \u06a9\u0648\u062a\u0627\u0647 \u0634\u062f\u0647 (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c bit.ly) \u0627\u0632 \u0647\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f. \u062a\u0634\u062e\u06cc\u0635 \u0648 \u0645\u062f\u06cc\u0631\u06cc\u062a \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0628\u0631\u0627\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0628\u0648\u062f\u0646 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<p>\u062d\u0630\u0641 \u062f\u0627\u062f\u0647 \u0647\u0627: \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0631\u06a9\u0648\u0631\u062f\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0628\u0647 \u0647\u0634 \u0647\u0627 \u0648 \u062f\u0631\u06a9 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0627\u0635\u0644 \u062f\u0631 \u0627\u0645\u0646\u06cc\u062a \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u062f\u0631 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc\u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0647 \u0637\u0631\u0627\u062d\u06cc \u0631\u0627\u0647 \u0647\u0627\u06cc \u0628\u0647\u062a\u0631 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0641\u0638\u062a \u0627\u0632 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0648 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0646\u0642\u0627\u0637 \u0636\u0639\u0641 \u0628\u0627\u0644\u0642\u0648\u0647 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f.  <\/p>\n<p>  \u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u06cc: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0627\u0628\u0639 \u0647\u0634<\/p>\n<p>\u0631\u0627 \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f \u0628\u0647 \u062a\u062e\u0645\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0634 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u06cc\u0627 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f.  <\/p>\n<p>  \u0645\u062b\u0627\u0644: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0631 \u0641\u0636\u0627\u06cc \u0647\u0634<\/p>\n<p>\u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0647 \u0647\u0631 \u0631\u06a9\u0648\u0631\u062f \u06cc\u06a9 \u0647\u0634 \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0645\u0633\u0626\u0644\u0647 \u062a\u0648\u0644\u062f \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0634 \u062f\u0648 \u0631\u06a9\u0648\u0631\u062f \u0631\u0627 \u062a\u062e\u0645\u06cc\u0646 \u0628\u0632\u0646\u06cc\u0645.<\/p>\n<p>import random<\/p>\n<p>def simulate_collisions(hash_space, num_entries):<br \/>\n    hashes = set()<br \/>\n    for _ in range(num_entries):<br \/>\n        hash_value = random.randint(0, hash_space &#8211; 1)<br \/>\n        if hash_value in hashes:<br \/>\n            return True  # Collision detected<br \/>\n        hashes.add(hash_value)<br \/>\n    return False  # No collisions<\/p>\n<p># Parameters<br \/>\nhash_space = 2**16  # 16-bit hash space<br \/>\nnum_entries = 100<\/p>\n<p># Simulate<br \/>\ncollisions = sum(simulate_collisions(hash_space, num_entries) for _ in range(10000))<br \/>\nprint(f&#8221;Collision probability: {collisions \/ 10000:.2%}&#8221;)<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>  \u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<\/p>\n<p>\u0645\u0633\u0626\u0644\u0647 \u062a\u0648\u0644\u062f \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0634\u0647\u0648\u062f \u0631\u0627 \u0628\u0647 \u0686\u0627\u0644\u0634 \u0628\u06a9\u0634\u062f. \u067e\u06cc\u0627\u0645\u062f\u0647\u0627\u06cc \u0622\u0646 \u0627\u0632 \u06a9\u0646\u062c\u06a9\u0627\u0648\u06cc \u0647\u0627\u06cc \u0631\u0648\u0632\u0645\u0631\u0647 \u062a\u0627 \u0645\u0646\u0627\u0637\u0642 \u0645\u0647\u0645\u06cc \u0645\u0627\u0646\u0646\u062f \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0648 \u0639\u0644\u0645 \u062f\u0627\u062f\u0647. \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u0627\u0635\u0644 \u0628\u0647 \u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u062f\u0631\u06a9 \u0639\u0645\u06cc\u0642\u200c\u062a\u0631\u06cc \u0627\u0632 \u0686\u06af\u0648\u0646\u06af\u06cc \u0634\u06a9\u0644\u200c\u062f\u0647\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0647 \u062c\u0647\u0627\u0646 \u0627\u0637\u0631\u0627\u0641\u0645\u0627\u0646 \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u0645. <\/p>\n<div data-article-id=\"2120588\" id=\"article-body\">\n<p>\u0633\u0644\u0627\u0645 \u0628\u0686\u0647 \u0647\u0627  <\/p>\n<p>\u0645\u0646 \u0627\u062e\u06cc\u0631\u0627\u064b \u06cc\u06a9 \u0645\u0642\u0627\u0644\u0647 \u062c\u0627\u0644\u0628 \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u062e\u0648\u0627\u0646\u062f\u0645 <strong>\u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f<\/strong>\u060c \u0648 \u0641\u06a9\u0631 \u0645\u06cc \u06a9\u0646\u0645 \u0642\u0635\u062f \u062f\u0627\u0631\u0645 \u06cc\u06a9 \u067e\u0633\u062a \u0648\u0628\u0644\u0627\u06af\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u0645.  <\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_81 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%85%D8%B4%DA%A9%D9%84_%D8%AA%D9%88%D9%84%D8%AF_%D8%B4%D8%A7%D9%85%D9%84_%DA%86%D9%87_%DA%86%DB%8C%D8%B2%DB%8C_%D8%A7%D8%B3%D8%AA%D8%9F\" >\u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f \u0634\u0627\u0645\u0644 \u0686\u0647 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a\u061f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D8%AF%D8%B1%DA%A9_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA_%D9%BE%D8%B4%D8%AA_%D9%85%D8%B3%D8%A6%D9%84%D9%87\" >\u062f\u0631\u06a9 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u067e\u0634\u062a \u0645\u0633\u0626\u0644\u0647<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%DA%86%DA%AF%D9%88%D9%86%D9%87_%DA%A9%D8%A7%D8%B1_%D9%85%DB%8C_%DA%A9%D9%86%D8%AF%D8%9F\" >\u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f\u061f<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%85%D9%81%D8%B1%D9%88%D8%B6%D8%A7%D8%AA_%D8%B3%D8%B1%DB%8C%D8%B9\" >\u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0633\u0631\u06cc\u0639:<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D8%B4%DA%A9%D8%B3%D8%AA%D9%86_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84\" >\u0634\u06a9\u0633\u062a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#1_%D9%85%D8%AC%D9%85%D9%88%D8%B9_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D9%85%DA%A9%D9%86\" >1. \u0645\u062c\u0645\u0648\u0639 \u0646\u062a\u0627\u06cc\u062c \u0645\u0645\u06a9\u0646<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#2_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D8%B7%D9%84%D9%88%D8%A8\" >2. \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#3_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84_%D8%B9%D8%AF%D9%85_%D8%AA%D9%88%D9%84%D8%AF_%D9%85%D8%B4%D8%AA%D8%B1%DA%A9\" >3. \u0627\u062d\u062a\u0645\u0627\u0644 \u0639\u062f\u0645 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#4_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84_%D8%AD%D8%AF%D8%A7%D9%82%D9%84_%DB%8C%DA%A9_%D8%AA%D9%88%D9%84%D8%AF_%D9%85%D8%B4%D8%AA%D8%B1%DA%A9\" >4. \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D9%87_%D8%B4%D8%AF%D9%87\" >\u0646\u062a\u0627\u06cc\u062c \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%DA%86%D8%B1%D8%A7_%D8%A7%DB%8C%D9%86_%D9%85%D9%88%D8%B6%D9%88%D8%B9_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%AA%D9%88%D8%B3%D8%B9%D9%87_%D8%AF%D9%87%D9%86%D8%AF%DA%AF%D8%A7%D9%86_%D9%86%D8%B1%D9%85_%D8%A7%D9%81%D8%B2%D8%A7%D8%B1_%D8%A7%D9%87%D9%85%DB%8C%D8%AA_%D8%AF%D8%A7%D8%B1%D8%AF%D8%9F\" >\u0686\u0631\u0627 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u06af\u0627\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0647\u0645\u06cc\u062a \u062f\u0627\u0631\u062f\u061f<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%85%D9%88%D8%A7%D8%B1%D8%AF_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%AF%D8%B1_%D8%B2%D9%86%D8%AF%DA%AF%DB%8C_%D9%88%D8%A7%D9%82%D8%B9%DB%8C\" >\u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%85%D8%AB%D8%A7%D9%84_%D8%B9%D9%85%D9%84%DB%8C_%D8%AA%D8%B4%D8%AE%DB%8C%D8%B5_%D8%A8%D8%B1%D8%AE%D9%88%D8%B1%D8%AF_%D8%AA%D8%A7%D8%A8%D8%B9_%D9%87%D8%B4\" >\u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u06cc: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0627\u0628\u0639 \u0647\u0634<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%85%D8%AB%D8%A7%D9%84_%D8%AA%D8%B4%D8%AE%DB%8C%D8%B5_%D8%A8%D8%B1%D8%AE%D9%88%D8%B1%D8%AF_%D8%AF%D8%B1_%D9%81%D8%B6%D8%A7%DB%8C_%D9%87%D8%B4\" >\u0645\u062b\u0627\u0644: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0631 \u0641\u0636\u0627\u06cc \u0647\u0634<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/nabfollower.com\/blog\/the-birthday-problem-probability-in-action-2a6d\/#%D9%86%D8%AA%DB%8C%D8%AC%D9%87_%DA%AF%DB%8C%D8%B1%DB%8C\" >\u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%D9%85%D8%B4%DA%A9%D9%84_%D8%AA%D9%88%D9%84%D8%AF_%D8%B4%D8%A7%D9%85%D9%84_%DA%86%D9%87_%DA%86%DB%8C%D8%B2%DB%8C_%D8%A7%D8%B3%D8%AA%D8%9F\"><\/span>\n<p>  \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f \u0634\u0627\u0645\u0644 \u0686\u0647 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a\u061f<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u0634\u0645\u0627 \u062f\u0631 \u0627\u062a\u0627\u0642\u06cc \u0647\u0633\u062a\u06cc\u062f \u06a9\u0647 \u0641\u0642\u0637 23 \u0646\u0641\u0631 \u062f\u0627\u0631\u062f\u2014\u062f\u0631 \u0648\u0627\u0642\u0639 \u06cc\u06a9 \u0627\u062a\u0627\u0642 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <strong>\u0634\u0627\u0646\u0633 50-50<\/strong> \u06a9\u0647 \u062f\u0648 \u0646\u0641\u0631 \u0627\u0632 \u0634\u0645\u0627 \u062a\u0648\u0644\u062f \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0631\u06cc\u062f.  <\/p>\n<hr\/>\n<h2><span class=\"ez-toc-section\" id=\"%D8%AF%D8%B1%DA%A9_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA_%D9%BE%D8%B4%D8%AA_%D9%85%D8%B3%D8%A6%D9%84%D9%87\"><\/span>\n<p>  \u062f\u0631\u06a9 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u067e\u0634\u062a \u0645\u0633\u0626\u0644\u0647<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0645\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u0645 \u0633\u0639\u06cc \u06a9\u0646\u06cc\u0645 \u0634\u0627\u0646\u0633\u06cc \u0631\u0627 \u06a9\u0647 \u0627\u0641\u0631\u0627\u062f \u062a\u0648\u0644\u062f\u0647\u0627\u06cc \u0645\u0634\u0627\u0628\u0647\u06cc \u062f\u0627\u0631\u0646\u062f\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u0645\u060c \u0627\u0645\u0627 \u062f\u0631 \u0648\u0627\u0642\u0639 \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u06cc\u0646 \u0634\u0627\u0646\u0633 \u0622\u0633\u0627\u0646\u200c\u062a\u0631 \u0627\u0633\u062a <strong>\u0647\u06cc\u0686 \u06a9\u0633<\/strong> \u062a\u0648\u0644\u062f \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0645\u06cc \u06af\u0630\u0627\u0631\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0627\u0632 1 \u06a9\u0645 \u0645\u06cc \u06a9\u0646\u062f (<em>\u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0627 \u0628\u0647 \u062e\u0627\u0637\u0631 \u0628\u0633\u067e\u0627\u0631!<\/em>).  <\/p>\n<h3><span class=\"ez-toc-section\" id=\"%DA%86%DA%AF%D9%88%D9%86%D9%87_%DA%A9%D8%A7%D8%B1_%D9%85%DB%8C_%DA%A9%D9%86%D8%AF%D8%9F\"><\/span>\n<p>  <strong>\u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f\u061f<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"%D9%85%D9%81%D8%B1%D9%88%D8%B6%D8%A7%D8%AA_%D8%B3%D8%B1%DB%8C%D8%B9\"><\/span>\n<p>  \u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0633\u0631\u06cc\u0639:<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul>\n<li>\u0627\u0648\u0644\u06cc\u0646 \u0646\u0641\u0631 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0627\u0632 365 \u0631\u0648\u0632 \u062a\u0648\u0644\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.\n<\/li>\n<li>\u0634\u062e\u0635 \u062f\u0648\u0645 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0631\u0648\u0632 \u0627\u062c\u062a\u0646\u0627\u0628 \u06a9\u0646\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0622\u0646 \u0631\u0648\u0632 \u0627\u062c\u062a\u0646\u0627\u0628 \u06a9\u0646\u0646\u062f <strong>364 \u0631\u0648\u0632<\/strong> \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628\n<\/li>\n<li>\u0646\u0641\u0631 \u0633\u0648\u0645 \u0628\u0627\u06cc\u062f \u0627\u0632 \u0647\u0631 \u062f\u0648 \u062a\u0648\u0644\u062f \u0637\u0641\u0631\u0647 \u0631\u0648\u062f\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0622\u0646\u0647\u0627 \u0628\u0627\u06cc\u062f <strong>363 \u0631\u0648\u0632<\/strong>\u060c \u0648 \u0628\u0647 \u0631\u0627\u0647 \u062e\u0648\u062f \u0627\u062f\u0627\u0645\u0647 \u0645\u06cc \u062f\u0647\u062f.<\/li>\n<\/ul>\n<hr\/>\n<h2><span class=\"ez-toc-section\" id=\"%D8%B4%DA%A9%D8%B3%D8%AA%D9%86_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84\"><\/span>\n<p>  \u0634\u06a9\u0633\u062a\u0646 \u0627\u062d\u062a\u0645\u0627\u0644<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"1_%D9%85%D8%AC%D9%85%D9%88%D8%B9_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D9%85%DA%A9%D9%86\"><\/span>\n<p>  <strong>1. \u0645\u062c\u0645\u0648\u0639 \u0646\u062a\u0627\u06cc\u062c \u0645\u0645\u06a9\u0646<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u06af\u0631 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <code>n<\/code> \u0627\u0641\u0631\u0627\u062f \u0648 365 \u0631\u0648\u0632 \u062f\u0631 \u0633\u0627\u0644\u060c \u062a\u0639\u062f\u0627\u062f \u06a9\u0644 \u062a\u0631\u06a9\u06cc\u0628 \u0647\u0627\u06cc \u0645\u0645\u06a9\u0646 \u062a\u0648\u0644\u062f: 365<sup>n<\/sup><\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D8%B7%D9%84%D9%88%D8%A8\"><\/span>\n<p>  <strong>2. \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062a\u0639\u062f\u0627\u062f \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628 \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:<\/p>\n<p><code>365 \u00d7 364 \u00d7 363 \u00d7 ... \u00d7 (365 - n + 1)<\/code><\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84_%D8%B9%D8%AF%D9%85_%D8%AA%D9%88%D9%84%D8%AF_%D9%85%D8%B4%D8%AA%D8%B1%DA%A9\"><\/span>\n<p>  <strong>3. \u0627\u062d\u062a\u0645\u0627\u0644 \u0639\u062f\u0645 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u06cc\u0646\u06a9\u0647 \u0647\u06cc\u0686 \u062f\u0648 \u0646\u0641\u0631 \u062f\u0631 \u062a\u0627\u0631\u06cc\u062e \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9 \u0646\u0628\u0627\u0634\u0646\u062f\u060c \u0646\u0633\u0628\u062a \u0646\u062a\u0627\u06cc\u062c \u0645\u0637\u0644\u0648\u0628 \u0628\u0647 \u06a9\u0644 \u0646\u062a\u0627\u06cc\u062c \u0627\u0633\u062a:  <\/p>\n<p><code>P(No shared birthday) = (365 \u00d7 364 \u00d7 ... \u00d7 (365 - n + 1))<\/code>\/(365<sup>n<\/sup>)  <\/p>\n<p>\u06a9\u0647 \u0647\u0645\u0627\u0646 \u0627\u0633\u062a:<\/p>\n<p><code>P(No shared birthday) = 365! \/ ((365 - n)!<\/code>  \u00d7 365<sup>n<\/sup>)<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_%D8%A7%D8%AD%D8%AA%D9%85%D8%A7%D9%84_%D8%AD%D8%AF%D8%A7%D9%82%D9%84_%DB%8C%DA%A9_%D8%AA%D9%88%D9%84%D8%AF_%D9%85%D8%B4%D8%AA%D8%B1%DA%A9\"><\/span>\n<p>  <strong>4. \u0627\u062d\u062a\u0645\u0627\u0644 \u062d\u062f\u0627\u0642\u0644 \u06cc\u06a9 \u062a\u0648\u0644\u062f \u0645\u0634\u062a\u0631\u06a9<\/strong><br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><code>P(At least one shared birthday) = 1 - P(No shared birthday)<\/code><\/p>\n<hr\/>\n<h2><span class=\"ez-toc-section\" id=\"%D9%86%D8%AA%D8%A7%DB%8C%D8%AC_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D9%87_%D8%B4%D8%AF%D9%87\"><\/span>\n<p>  \u0646\u062a\u0627\u06cc\u062c \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u060c \u0646\u062a\u0627\u06cc\u062c \u0634\u06af\u0641\u062a \u0627\u0646\u06af\u06cc\u0632\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f:  <\/p>\n<ul>\n<li>\u0641\u0642\u0637 \u0628\u0627 <strong>23 \u0646\u0641\u0631<\/strong>\u060c \u0634\u0645\u0627 \u062f\u0631 \u0645\u0648\u0631\u062f \u06cc\u06a9 <strong>\u0634\u0627\u0646\u0633 50 \u062f\u0631\u0635\u062f<\/strong> \u0627\u0632 \u0645\u0633\u0627\u0628\u0642\u0647 \u062a\u0648\u0644\u062f\n<\/li>\n<li>\u0628\u0627 <strong>30 \u0646\u0641\u0631<\/strong>\u060c \u06cc\u06a9 \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f <strong>\u0634\u0627\u0646\u0633 70 \u062f\u0631\u0635\u062f<\/strong>.\n<\/li>\n<li>\u0628\u0627 <strong>50 \u0646\u0641\u0631<\/strong>\u060c \u0622\u0646 \u0627\u0633\u062a <strong>\u0627\u062d\u062a\u0645\u0627\u0644 97 \u062f\u0631\u0635\u062f<\/strong>.\n<\/li>\n<\/ul>\n<hr\/>\n<h2><span class=\"ez-toc-section\" id=\"%DA%86%D8%B1%D8%A7_%D8%A7%DB%8C%D9%86_%D9%85%D9%88%D8%B6%D9%88%D8%B9_%D8%A8%D8%B1%D8%A7%DB%8C_%D8%AA%D9%88%D8%B3%D8%B9%D9%87_%D8%AF%D9%87%D9%86%D8%AF%DA%AF%D8%A7%D9%86_%D9%86%D8%B1%D9%85_%D8%A7%D9%81%D8%B2%D8%A7%D8%B1_%D8%A7%D9%87%D9%85%DB%8C%D8%AA_%D8%AF%D8%A7%D8%B1%D8%AF%D8%9F\"><\/span>\n<p>  \u0686\u0631\u0627 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u06af\u0627\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0647\u0645\u06cc\u062a \u062f\u0627\u0631\u062f\u061f<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0641\u0631\u0627\u062a\u0631 \u0627\u0632 \u062a\u0648\u0644\u062f \u062f\u0627\u0631\u062f! \u062f\u0631 \u0632\u0645\u06cc\u0646\u0647 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f <strong>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc<\/strong> \u0648 <strong>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0647\u0634<\/strong>.  <\/p>\n<hr\/>\n<h3><span class=\"ez-toc-section\" id=\"%D9%85%D9%88%D8%A7%D8%B1%D8%AF_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%AF%D8%B1_%D8%B2%D9%86%D8%AF%DA%AF%DB%8C_%D9%88%D8%A7%D9%82%D8%B9%DB%8C\"><\/span>\n<p>  \u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0632\u0646\u062f\u06af\u06cc \u0648\u0627\u0642\u0639\u06cc<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>\n<strong>\u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646:<\/strong> \u062a\u0648\u0627\u0628\u0639 \u0647\u0634 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc (\u0645\u0627\u0646\u0646\u062f <strong>SHA-256<\/strong>) \u0628\u0631\u0627\u06cc \u062a\u0636\u0645\u06cc\u0646 \u0627\u0645\u0646\u06cc\u062a \u0628\u0627\u06cc\u062f \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0642\u0627\u0648\u0645\u062a \u06a9\u0646\u062f.\n<\/li>\n<li>\n<strong>\u06a9\u0648\u062a\u0627\u0647 \u06a9\u0646\u0646\u062f\u0647 URL:<\/strong> URL \u0647\u0627\u06cc \u06a9\u0648\u062a\u0627\u0647 \u0634\u062f\u0647 (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644\u060c <code>bit.ly<\/code>) \u0627\u0632 \u0647\u0634 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f. \u062a\u0634\u062e\u06cc\u0635 \u0648 \u0645\u062f\u06cc\u0631\u06cc\u062a \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0628\u0631\u0627\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0628\u0648\u062f\u0646 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.\n<\/li>\n<li>\n<strong>\u062d\u0630\u0641 \u062f\u0627\u062f\u0647 \u0647\u0627:<\/strong> \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0631\u06a9\u0648\u0631\u062f\u0647\u0627\u06cc \u062a\u06a9\u0631\u0627\u0631\u06cc \u062f\u0631 \u0645\u062c\u0645\u0648\u0639\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0628\u0647 \u0647\u0634 \u0647\u0627 \u0648 \u062f\u0631\u06a9 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a.\n<\/li>\n<\/ol>\n<hr\/>\n<p>\u0627\u06cc\u0646 \u0627\u0635\u0644 \u062f\u0631 <strong>\u0627\u0645\u0646\u06cc\u062a \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631<\/strong>\u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u062f\u0631 <strong>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc<\/strong>\u060c \u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0647 \u0637\u0631\u0627\u062d\u06cc \u0631\u0627\u0647 \u0647\u0627\u06cc \u0628\u0647\u062a\u0631 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0641\u0638\u062a \u0627\u0632 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0648 \u0634\u0646\u0627\u0633\u0627\u06cc\u06cc \u0646\u0642\u0627\u0637 \u0636\u0639\u0641 \u0628\u0627\u0644\u0642\u0648\u0647 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f.  <\/p>\n<h3><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_%D8%B9%D9%85%D9%84%DB%8C_%D8%AA%D8%B4%D8%AE%DB%8C%D8%B5_%D8%A8%D8%B1%D8%AE%D9%88%D8%B1%D8%AF_%D8%AA%D8%A7%D8%A8%D8%B9_%D9%87%D8%B4\"><\/span>\n<p>  \u0645\u062b\u0627\u0644 \u0639\u0645\u0644\u06cc: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0627\u0628\u0639 \u0647\u0634<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0631\u0627 <strong>\u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f<\/strong> \u0628\u0647 \u062a\u062e\u0645\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0634 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u06cc\u0627 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f.  <\/p>\n<h4><span class=\"ez-toc-section\" id=\"%D9%85%D8%AB%D8%A7%D9%84_%D8%AA%D8%B4%D8%AE%DB%8C%D8%B5_%D8%A8%D8%B1%D8%AE%D9%88%D8%B1%D8%AF_%D8%AF%D8%B1_%D9%81%D8%B6%D8%A7%DB%8C_%D9%87%D8%B4\"><\/span>\n<p>  \u0645\u062b\u0627\u0644: \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0631 \u0641\u0636\u0627\u06cc \u0647\u0634<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u067e\u0627\u06cc\u06af\u0627\u0647 \u062f\u0627\u062f\u0647 \u0631\u0627 \u062a\u0635\u0648\u0631 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0647 \u0647\u0631 \u0631\u06a9\u0648\u0631\u062f \u06cc\u06a9 \u0647\u0634 \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f \u0627\u062e\u062a\u0635\u0627\u0635 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0645\u0633\u0626\u0644\u0647 \u062a\u0648\u0644\u062f \u0628\u0647 \u0645\u0627 \u0627\u0645\u06a9\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0634 \u062f\u0648 \u0631\u06a9\u0648\u0631\u062f \u0631\u0627 \u062a\u062e\u0645\u06cc\u0646 \u0628\u0632\u0646\u06cc\u0645.<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight python\"><code><span class=\"kn\">import<\/span> <span class=\"n\">random<\/span>\n\n<span class=\"k\">def<\/span> <span class=\"nf\">simulate_collisions<\/span><span class=\"p\">(<\/span><span class=\"n\">hash_space<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_entries<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">hashes<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">set<\/span><span class=\"p\">()<\/span>\n    <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nf\">range<\/span><span class=\"p\">(<\/span><span class=\"n\">num_entries<\/span><span class=\"p\">):<\/span>\n        <span class=\"n\">hash_value<\/span> <span class=\"o\">=<\/span> <span class=\"n\">random<\/span><span class=\"p\">.<\/span><span class=\"nf\">randint<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"n\">hash_space<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">1<\/span><span class=\"p\">)<\/span>\n        <span class=\"k\">if<\/span> <span class=\"n\">hash_value<\/span> <span class=\"ow\">in<\/span> <span class=\"n\">hashes<\/span><span class=\"p\">:<\/span>\n            <span class=\"k\">return<\/span> <span class=\"bp\">True<\/span>  <span class=\"c1\"># Collision detected\n<\/span>        <span class=\"n\">hashes<\/span><span class=\"p\">.<\/span><span class=\"nf\">add<\/span><span class=\"p\">(<\/span><span class=\"n\">hash_value<\/span><span class=\"p\">)<\/span>\n    <span class=\"k\">return<\/span> <span class=\"bp\">False<\/span>  <span class=\"c1\"># No collisions\n<\/span>\n<span class=\"c1\"># Parameters\n<\/span><span class=\"n\">hash_space<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">2<\/span><span class=\"o\">**<\/span><span class=\"mi\">16<\/span>  <span class=\"c1\"># 16-bit hash space\n<\/span><span class=\"n\">num_entries<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">100<\/span>\n\n<span class=\"c1\"># Simulate\n<\/span><span class=\"n\">collisions<\/span> <span class=\"o\">=<\/span> <span class=\"nf\">sum<\/span><span class=\"p\">(<\/span><span class=\"nf\">simulate_collisions<\/span><span class=\"p\">(<\/span><span class=\"n\">hash_space<\/span><span class=\"p\">,<\/span> <span class=\"n\">num_entries<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">_<\/span> <span class=\"ow\">in<\/span> <span class=\"nf\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">10000<\/span><span class=\"p\">))<\/span>\n<span class=\"nf\">print<\/span><span class=\"p\">(<\/span><span class=\"sa\">f<\/span><span class=\"sh\">\"<\/span><span class=\"s\">Collision probability: <\/span><span class=\"si\">{<\/span><span class=\"n\">collisions<\/span> <span class=\"o\">\/<\/span> <span class=\"mi\">10000<\/span><span class=\"si\">:<\/span><span class=\"p\">.<\/span><span class=\"mi\">2<\/span><span class=\"o\">%<\/span><span class=\"si\">}<\/span><span class=\"sh\">\"<\/span><span class=\"p\">)<\/span>\n<\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"%D9%86%D8%AA%DB%8C%D8%AC%D9%87_%DA%AF%DB%8C%D8%B1%DB%8C\"><\/span>\n<p>  \u0646\u062a\u06cc\u062c\u0647 \u06af\u06cc\u0631\u06cc<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0645\u0633\u0626\u0644\u0647 \u062a\u0648\u0644\u062f \u0646\u0645\u0648\u0646\u0647 \u0627\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0686\u06af\u0648\u0646\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0634\u0647\u0648\u062f \u0631\u0627 \u0628\u0647 \u0686\u0627\u0644\u0634 \u0628\u06a9\u0634\u062f. \u067e\u06cc\u0627\u0645\u062f\u0647\u0627\u06cc \u0622\u0646 \u0627\u0632 \u06a9\u0646\u062c\u06a9\u0627\u0648\u06cc \u0647\u0627\u06cc \u0631\u0648\u0632\u0645\u0631\u0647 \u062a\u0627 \u0645\u0646\u0627\u0637\u0642 \u0645\u0647\u0645\u06cc \u0645\u0627\u0646\u0646\u062f <strong>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc<\/strong> \u0648 <strong>\u0639\u0644\u0645 \u062f\u0627\u062f\u0647<\/strong>. \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u0627\u0635\u0644 \u0628\u0647 \u0645\u0627 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f \u062a\u0627 \u062f\u0631\u06a9 \u0639\u0645\u06cc\u0642\u200c\u062a\u0631\u06cc \u0627\u0632 \u0686\u06af\u0648\u0646\u06af\u06cc \u0634\u06a9\u0644\u200c\u062f\u0647\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u0628\u0647 \u062c\u0647\u0627\u0646 \u0627\u0637\u0631\u0627\u0641\u0645\u0627\u0646 \u0628\u0647 \u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u0645. <\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Summarize this content to 400 words in Persian Lang \u0633\u0644\u0627\u0645 \u0628\u0686\u0647 \u0647\u0627 \u0645\u0646 \u0627\u062e\u06cc\u0631\u0627\u064b \u06cc\u06a9 \u0645\u0642\u0627\u0644\u0647 \u062c\u0627\u0644\u0628 \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u062e\u0648\u0627\u0646\u062f\u0645 \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f\u060c \u0648 \u0641\u06a9\u0631 \u0645\u06cc \u06a9\u0646\u0645 \u0642\u0635\u062f \u062f\u0627\u0631\u0645 \u06cc\u06a9 \u067e\u0633\u062a \u0648\u0628\u0644\u0627\u06af\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u0622\u0646 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u0645. \u0645\u0634\u06a9\u0644 \u062a\u0648\u0644\u062f \u0634\u0627\u0645\u0644 \u0686\u0647 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a\u061f \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0641\u0631\u0636 \u06a9\u0646\u06cc\u0645 \u0634\u0645\u0627 \u062f\u0631 \u0627\u062a\u0627\u0642\u06cc \u0647\u0633\u062a\u06cc\u062f \u06a9\u0647 \u0641\u0642\u0637 23 \u0646\u0641\u0631 \u062f\u0627\u0631\u062f\u2014\u062f\u0631 &hellip;<\/p>\n","protected":false},"author":2,"featured_media":85388,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[339],"tags":[],"class_list":["post-85387","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dev"],"_links":{"self":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/85387","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/comments?post=85387"}],"version-history":[{"count":0,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/85387\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media\/85388"}],"wp:attachment":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media?parent=85387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/categories?post=85387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/tags?post=85387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}