एक गोल मेज पर, n व्यक्ति n कुर्सियों पर बैठे हैं। एक ही कॉलेज के दो दोस्तों के एक दूसरे के बगल में बैठने की प्रायिकता है:

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SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. \(\rm \frac{2}{n}\)
  2. \(\rm\frac{1}{n-1}\)
  3. \(\rm\frac{1}{n}\)
  4. \(\rm\frac{2}{n-1}\)

Answer (Detailed Solution Below)

Option 4 : \(\rm\frac{2}{n-1}\)
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स्पष्टीकरण

गोल मेज पर n व्यक्ति n कुर्सियों पर बैठे हैं।

एक व्यक्ति के लिए एक कुर्सी तय है = 1

∴ n -1 व्यक्ति शेष हैं

दो दोस्त एक साथ बैठना चाहते हैं तो एक का दोस्त = दूसरा व्यक्ति दाएं या बाएं कुर्सी पर बैठ सकता है।

यदि पहले A है तो बैठने की व्यवस्था AB या BA हो सकती है इसलिए (N -1) कुर्सियों में से एक साथ बैठने की संभावना दाएं या बाएं होगी।

∴ संभव प्रायिकता 2/(n – 1) है।

 

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