Question

What is the probability of getting 6 girls in 8 births?

Answer 1

`((8),(6))(1/2)^6(1/2)^2=28/256=0.109375`

Explanation:

The probability of getting a girl is `1/2`. The probability of getting 6 girls is therefore `(1/2)^6`.

Since we have 6 girls, we also need to find the probability of getting 2 boys, which is `(1/2)^2`.

There are `((8),(6))=28` ways to get 6 girls out of 8 children.

This all gives:

`28(1/2)^6(1/2)^2=28/256=0.109375`