Question 1142965: In families with four children, you’re interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-column table with the headings “0” through “4,” for the five possible numbers of girl children in a four-child family. Then, using “G” for girls and “B” for boys, list under each heading the various birth-order ways of achieving that number of girls in a family.
Then, use your table to calculate the following probabilities:
a. The probability of 1 girl
b. The probability of 2 girls
c. The probability of 4 girls
d. The probability the third child born is a girl
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
0 girls: BBBB 1 way
1 girl: GBBB, BGBB, BBGB, BBBG 4 ways
2 girls: GGBB, GBGB, GBBG, BGGB, BGBG, BBGG 6 ways
3 girls: GGGB, GGBG, GBGG, BGGG 4 ways
4 girls: GGGG 1 way
A total of 2^4 = 16 different possible orders....
You can calculate the probabilities.
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