Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

There are n persons sitting in a row, two of them are selected at random. The probability that two selected persons are not together is:

Options:

$\frac{2}{n}$

$1-\frac{2}{n}$

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

None of these

Correct Answer:

$1-\frac{2}{n}$

Explanation:

P(selected person not together) = 1 – P(selected person together) = $1-\frac{n-1}{{^nC}_2}=1-\frac{2}{n}$