Question

A family has three children. The probability of having a girl is 0.5. What is the probability of having 2 girls followed by 1 boy? The answer should be to the nearest thousanth

A. 0.125

B. 0.191

C. 0.148

D. 0.375

Answer 1

Solution:

The probability of having a girl is 0.5. Hence, the probability of having a boy will be (1 - 0.5) = 0.5.

Probability that first children is girl = 0.5

Probability that second child is girl = 0.5

Probability that third child is a boy = 0.5

Hence, the probability of having 2 girls followed by 1 boy is,

(0.5 × 0.5 × 0.5) = 0.125

The probability of having 2 girls followed by 1 boy is 0.125.

Hence, option (A) is correct.