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 are exactly 0 girls. b. Among three children, there are exactly 2 girls. c. Among three children, there is exactly 1 girl. a. What is the probability of exactly 0 girls out of three children? Type an integer or a simplified fraction.) b. What is the probability of exactly 2 girls out of three children? Type an integer or a simplified fraction.) c What is the probability of exactly 1 girl out of three children? (Type an integer or a simplified fraction.)

Explanation / Answer

Part a

Total number of outcomes = 8

Number of outcomes in which there is 0 girls = 1

Required probability = number of favourable outcome / total number of outcome

Required probability = 1/8 = 0.125

Part b

Total number of outcomes = 8

Number of outcomes in which there are exactly 2 girls = 3

Required probability = number of favourable outcome / total number of outcome

Required probability =3/8 = 0.375

Part c

Total number of outcomes = 8

Number of outcomes in which there is exactly 1 girl = 2

Required probability = number of favourable outcome / total number of outcome

Required probability =2/8 = 0.25

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