A family has 5 children. If the probability that each child is a girl is 0.5, what is the probability that 4 of the children are girls? Round your answer to six decimal places.
A)Pr(4 Girls) = 0.078125
B)Pr(4 Girls) = 0.039063
C)Pr(4 Girls) = 0.156250
D)Pr(4 Girls) = 0.062500
E)Pr(4 Girls) = 0.125000

Question

A family has 5 children. If the probability that each child is a girl is 0.5, what is the probability that 4 of the children are girls? Round your answer to six decimal places. ​
A)Pr(4 Girls) = 0.078125
B)Pr(4 Girls) = 0.039063
C)Pr(4 Girls) = 0.156250
D)Pr(4 Girls) = 0.062500
E)Pr(4 Girls) = 0.125000

Quizplus · Accepted Answer

The probability of having 4 girls out of 5 children can be calculated using the binomial probability formula: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where n=5, k=4, and p=0.5. This results in 5 * (0.5^4) * (0.5^1) = 0.156250.

A Family Has 5 Children