Question

In a family of 5 children what is the probablity that the child is a boy ??

Answer 1

Answer:

Step-by-step explanation:

The probability that you have at least one son means you could have one or two or three or four or five sons.

There are total five possible situation under this question, which are you have no son, one son, two sons, three son, four sons, five sons. Suppose P is the probability to have sons. X is the number of sons that you have.

P(X>=1) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

Since P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) =1

So P(X>=1) = 1 - P(X=0)

We will treat each time the baby has same probability to be male or female. So P(X = 0) is all the babys are female, which is equal to 0.5^5

1- P(X=0) = 0.96875

Answer 2

0.96875 is the answer