Below is a sample space for a family with 3 children. BGG stands for the oldest child being a boy, the middle child a girl, and the youngest a girl. Use the sample space to answer the question:What is the probability (in simplest form) that the middle child is a boy? _____

Question

Below is a sample space for a family with 3 children. BGG stands for the oldest child being a boy, the middle child a girl, and the youngest a girl. Use the sample space to answer the question:What is the probability (in simplest form) that the middle child is a boy? _____

Sample Space
BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG

Answer 1

okay.. so my answer is: 4/8=1/2?

simplest form=1/2

is it correct?

Answer 2

I'll be glad to check your answer.

This site may help you.

http://www.mathsisfun.com/data/probability.html

Answer 3

That is correct!

Answer 4

okay,thank you!

Answer 5

You're welcome.

Answer 6

To find the probability of the middle child being a boy, we need to count the number of outcomes where the middle child is a boy and divide it by the total number of outcomes.

Looking at the sample space, we have 8 possible outcomes. Out of these, there are 3 outcomes where the middle child is a boy: BBB, GBB, and GBG.

Therefore, the probability (in simplest form) that the middle child is a boy is 3/8.