Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

2n boys are randomly divided into two subgroups containing n boys each. The probability that the two tallest boys are in different groups is:

Options:

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

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

$\frac{2n-1}{4n^2}$

None of these

Correct Answer:

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

Explanation:

P(two tallest are in different groups) = $\frac{{^{2n-2}C}_{n-1}.{^2C}_1}{{^{2n}C}_n}=\frac{n}{2n-1}$