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

Question

asked Apr 24, 2020 61.7k views

1 Answer

Eby · Answer 1 · 2020-04-28T15:08:06+0000

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.