We now have all we need in order to find P(A).What is P(A), the probability of a family with three children having exactly two girls?

To find the probability of a family with three children having exactly two girls, we need to consider all the possible outcomes and identify the ones that meet our criteria.

Step 1: Identify all possible outcomes The possible outcomes for a family with three children, where each child can be either a boy (B) or a girl (G), are: BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG. So, there are 8 possible outcomes.

Step 2: Identify favorable outcomes The outcomes where the family has exactly two girls are: BGG, GBG, GGB. So, there are 3 favorable outcomes.

Step 3: Calculate the probability The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. So, P(A) = Number of favorable outcomes / Total number of outcomes = 3 / 8 = 0.375.

So, the probability of a family with three children having exactly two girls is 0.375.