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Question: In a family of 5 children, then the probability that exactly two children are girls....

In a family of 5 children, then the probability that exactly two children are girls.

A

5/16

B

1/16

C

1/8

D

11/16

Answer

5/16

Explanation

Solution

Let P be probability of girls. q be probability of boy

p = q = ½

p(x=2) = 5C2p2q3=10×132=516{ } ^ { 5 } \mathrm { C } _ { 2 } \mathrm { p } ^ { 2 } \mathrm { q } ^ { 3 } = 10 \times \frac { 1 } { 32 } = \frac { 5 } { 16 }