At a round table, n persons are seated on n chairs. The probability that two friends from same college are sitting next to each other, is:

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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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Detailed Solution

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Explanation

At round table n persons are seated on n chairs.

One chairs is fixed for one person = 1

∴ n -1 persons are left

Two friends want to sit together then the friend of one= 2nd person can occupy chair on the right or left.

If first is A then sitting arrange may be AB or BA so possibility of sitting together will be on right or left from him out of (n – 1) chairs

The possible probability be 2/(n – 1)

 

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