SOLUTION: A couple has three children. Find each probability: a) All boys. b) All girls or all boys. c) Exactly two boys or two girls. d) At least one child of each gender.

Algebra ->  Probability-and-statistics -> SOLUTION: A couple has three children. Find each probability: a) All boys. b) All girls or all boys. c) Exactly two boys or two girls. d) At least one child of each gender.      Log On


   



Question 1050663: A couple has three children. Find each probability:
a) All boys.
b) All girls or all boys.
c) Exactly two boys or two girls.
d) At least one child of each gender.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 8 possible outcomes.
BBB 3B 0G
BBG 2B 1G
BGB 2B 1G
BGG 1B 2G
GBB 2B 1G
GBG 1B 2G
GGB 1B 2G
GGG 0B 3G
So then,
a) P=1%2F8
b) P=1%2F8%2B1%2F8=1%2F4
c) P=6%281%2F8%29=3%2F4
d) So all of them except all boys or all girls, P=6%281%2F8%29=3%2F4