Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

There are \(n\) persons sitting in a row. Two of them are select at random, the probability that the two selected persons are not together is

Options:

\(\frac{2}{3}\)

\(1-\frac{2}{n(n+1)}\)

\(\frac{n(n-1)}{(n+1)(n+2)}\)

\(1-\frac{2}{n}\)

Correct Answer:

\(1-\frac{2}{n}\)

Explanation:

Required probability \(=\frac{^{n}C_{2}-(n-1)}{^{n}C_{2}}\)