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Chapter 3: Q.3.8 (page 98)

A couple has 2 children. What is the probability that both are girls if the older of the two is a girl ?

Short Answer

Expert verified

12is the probability that both are girls if the older of the two is a girl.

Step by step solution

01

Step 1:Given Information

Given that a couple has 2children.

02

Step 2:Explanation

Letg signify a girl and b indicate a boy.

Test space to the investigation is

S={gg,gb,bg,bb}

Allow A to signify the occasion that the two youngsters are girls.

A={gg}

Allow B to signify the occasion that the more established of the two is a girl.

B={gg,gb}

The occasion that more established of the two is a girl and the two youngsters are girls.

A∩B={gg}

03

Step 3:Final Answer

The probability that both are girls if the older of the two is a girl is

P(A∣B)=P(A∩B)P(B)

=1424

=12

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