# Math Help - [SOLVED] Find the probability of a family with 5 children...

1. ## [SOLVED] Find the probability of a family with 5 children...

Find the probablity.

A family has 5 children. The probability of having a girl is 1/2 (assumed). What is the probability of having 2 girls followed by 3 boys.

I think I need to use a tree diagram, but is there a different way of doing it? Like a formula? $P(E_{2}|E_{1})$ << something like that? But where would I put all the numbers?

2. Originally Posted by hellotarina
Find the probablity.
A family has 5 children. The probability of having a girl is 1/2 (assumed). What is the probability of having 2 girls followed by 3 boys.
There are just 32 ways, $2^5$, to have five children.
GGBBB is one of them.

3. 1/32?
:/ how do you know GGBBB is justone of them though?

4. Originally Posted by hellotarina
Find the probablity.

A family has 5 children. The probability of having a girl is 1/2 (assumed). What is the probability of having 2 girls followed by 3 boys.
Is there any other way for two girls to be followed by three boys?

5. No I get you.

Thank you so much