It is assume that when she children are born they are like they're equally likely to be boys or girls what is probability that a family of four children contain three boys and two girls

Answer 1

To find the probability of having three boys and two girls in a family of four children, we need to consider the different ways this can occur.

In a family of four children, the possible combinations are:

BBBG
BBGB
BGBB
GBBB
BGGG
GBGG
GGBG
GGGB

So, there are a total of 8 possible combinations.

Out of these 8 combinations, only 1 combination has three boys (B) and two girls (G), which is BBBG.

Therefore, the probability that a family of four children contains three boys and two girls is 1 out of 8, or 1/8.