Question:

The probability that in a family of 5 members, exactly 2 members have birthdays on Sunday, is

WBJEE

Updated On: Apr 24, 2024

(A) $\frac{12 \times 5^{3}}{7^{5}}$
(B) $\frac{10 \times 6^{2}}{7^{5}}$
(C) $\frac{2}{5}$
(D) $\frac{10 \times 6^{3}}{7^{5}}$

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The Correct Option is D

Solution and Explanation

Explanation:
Required probability

=^{5} C_{2} {(\frac{1}{7})}^{2} {(\frac{6}{7})}^{3}

= \frac{10 \times 6^{3}}{7^{5}}

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