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 quesstion:
What is the probability (in simplest form) that all are girls? _____
Sample Space
BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG
just 1
8 possibilities listed.
How many are GGG?
To find the probability that all three children are girls, we need to determine the number of favorable outcomes (in this case, the number of outcomes where all children are girls) and the total number of possible outcomes.
Looking at the sample space, we can see that there is only one outcome where all three children are girls - GGG.
The total number of possible outcomes is given by the number of entries in the sample space, which is 8.
Therefore, the probability of all three children being girls is 1/8.