Question

A family has five children. The probability of having a girl is 2 What is the probability of having no girls? Round the answer to the fourth decimal place

Answer 1

Answer: Hence, the probability of having no girls is 0.0313.

Explanation:

Since we have given that

Number of children a family has = 5

Number of outcomes would be
`2^5=32`

Probability of having a girl =
`(1)/(2)=0.5`

We need to find the probability of having no girls.

P(no girls ) = P( all boys )

So, it becomes,

`P(all\ boys)=(0.5)^5=0.03125\approx 0.0313`

Hence, the probability of having no girls is 0.0313.