Question: 5.15 Four Children (Example 3) The sample space given here shows all possible sequences for a family with 4 children, where B stands for boy

5.15 Four Children (Example 3) The sample space given here shows all possible sequences for a family with 4 children, where B stands for boy and G stands for girl.

GGGG GGGB GGBB GBBB BBBB GGBG GBGB BGBB GBGG GBBG BBGB BGGG BGGB BBBG BGBG BBGG Assume that all of the 16 outcomes are equally likely. Find the probability of having the following numbers of girls out of 4 children:

(a) exactly 0 girls,

(b) exactly 1 girl,

(c) exactly 2 girls,

(d) exactly 3 girls,

(e) exactly 4 girls.
(Hint: The probability of having 3 girls and a boy is 4>16, or 25%, because the second column shows that there are 4 ways to have 3 girls and 1 boy.)

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