SOLUTION: A family has 5 children.
a. Find the probability that exactly 2 are male
b. What is the probability that exactly 2 are female if the first child born is male?
c. Find the probab
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Question 348633: A family has 5 children.
a. Find the probability that exactly 2 are male
b. What is the probability that exactly 2 are female if the first child born is male?
c. Find the probability that the last child born is male
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a) There are or possible combinations of boys and girls.
1 combination has 5 boys, 0 girls
5 combination has 4 boys, 1 girls
10 combination has 3 boys, 2 girls
10 combination has 2 boys, 3 girls
5 combination has 1 boys, 4 girls
1 combination has 0 boys, 5 girls
P(2 boys)=
.
.
.
b) If the first born is male, then there are 16 possible combinations.
1 combination has 4 boys, 0 girls
4 combination has 3 boys, 1 girls
6 combination has 2 boys, 2 girls
4 combination has 1 boys, 3 girls
1 combination has 0 boys, 4 girls
P(2 girls, given first born male)=
.
.
.
c)P(last male)=, independent of any previous births.
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