Mr. And Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find the probability of each event.
There are 2 possible outcomes for each child: boy or girl. Since there are 3 children, there are a total of 2 x 2 x 2 = 8 possible outcomes for the gender of the triplets. To find the probability of each event, we need to count the number of outcomes that satisfy that event and divide by the total number of outcomes.
1. All 3 children are boys
Out of the 8 possible outcomes, only 1 is all boys: BBB. Therefore, the probability of all 3 children being boys is 1/8 or 12.5%.
2. All 3 children are girls
Out of the 8 possible outcomes, only 1 is all girls: GGG. Therefore, the probability of all 3 children being girls is also 1/8 or 12.5%.
3. 2 boys and 1 girl
There are 3 possible ways to have 2 boys and 1 girl: BBG, BGB, and GBB. Therefore, the probability of having 2 boys and 1 girl is 3/8 or 37.5%.
4. 1 boy and 2 girls
There are also 3 possible ways to have 1 boy and 2 girls: BGG, GBG, and GGB. Therefore, the probability of having 1 boy and 2 girls is also 3/8 or 37.5%.