This Question: 1 pt 9 of 10 (10 complete) The sample space given here shows all

Question

This Question: 1 pt 9 of 10 (10 complete) 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. If all 16 outcomes are equally likely, find the probability that there are a. exactly 0 boys b. exactly 1 boy c. exactly 2 girls d exactly 3 boys GGGG GGGB GGBB GBBB BBBB GGBG GBGB BGBB GBGG GBBG BBGB BGGG BGGB BBBG BGBG a. The probability of exactly 0 boys is (Type an integer or a simplified fraction.) b. The probability of exactly 1 boy is(Type an integer or a simplified fraction.) c. The probability of exactly 2 girs isType an integer or a simplified fraction) Enter your answer in each of the answer boxe

Explanation / Answer

a)
There is one outcome where 0 Boys.
Hence probability = 1/16

b)
There are 4 outcomes where 1 boy
Hence probability = 4/16 = 1/4

c)
There are 6 outcomes where exactly 2 girls
Hence probability = 6/16 = 3/8

d)
There are 4 outcomes where exactly 3 boys
Hence probability = 4/16 = 1/4

e)
There is one outcome where 4 Boys.
Hence probability = 1/16

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