To the right are the outcomes that are possible when a couple has three children

Question

To the right are the outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event a. Among three children, there is exactly 1 gir b. Among three children, there are exactly 2 girls c. Among three children, there are exactly 3 boys. 1st 2nd 3rd boy-boy-boy boy - boy-gir boy-girl-boy oy-girl-gir girl boy - boy girl -boy -gir girl-girl-boy girl- girl-gir a. What is the probability of exactly 1 girl out of three children? (Type an integer or a simplified fraction.) Type an integer or a simplified fraction,) Type an integer or a simplified fraction.) b. What is the probability of exactly 2 girls out of three children? c. What is the probability of exactly 3 boys out of three children?

Explanation / Answer

Here' the answer in detail with formulae. Please don't hesitate to give a "thumbs up" to the answer in case you're satisfied with the answer.

a. Among 3 children , there' exactly 1 girl
= 3 cases have 1 girl out of the total 8
= 3/8
= .375

b. P(Exactly 2 are girls out of 3)
= 3 cases out of 8 where there are 2 girls
= 3/8
= .375

c.P(exactly 3 boys)
= 1 case out of 8
= 1/8

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