a couple has three children. assuming each child has an equal chance of being a boy or a girl, what is the probability that they

Question

6 months ago

13

have at least one girl? a. 1 b. .125 c. .5 d. .875

1 answer:

yaroslaw [1] · Answer 1 · 2024-07-16T11:12:17+03:00

Answer:

d. 0.875

Step-by-step explanation:

Having at least 1 girl out of 3 children means that there can be 1, 2 or 3 girls out of the 3 children.

So having at lest 1 girl out of 3 children is the same as saying that all 3 children are not boys.

The probability that all 3 children are boys would be

chance that child 1 is a boy * chance that child 2 is a boy * chance that child 3 is a boy = 0.5 * 0.5 * 0.5 = 0.125

And the probability that NOT all 3 children are boys would be

100% - probability that all 3 children are boys = 1 - 0.125 = 0.875