(4) The sample space that describes all three-child families according to the genders of the children...

(4) The sample space that describes all three-child families according to the genders of the children with respect to birth order is In the experiment of selecting a three-child family at random, compute each of the following probabilities, assuming all outcomes are equally likely.
S = {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}
a. The probability that the family has at least two boys.
b. The probability that the family has at least two boys, given that not all of the children are girls.
c. The probability that at least one child is a boy.
d. The probability that at least one child is a boy, given that the first born is a girl.

Expert Solution

orchestra answered 2 years ago

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How many different three-child families are possible if birth order is taken into account? What is the probability of a three-child family with three girls?

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