To the right are the outcomes that are possible when a couple has three children
ID: 3181605 • Letter: T
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 boy. b. Among three children, there are exactly 2 girls. c. Among three children, there are exactly 3 girls. a. What is the probability of exactly 1 boy 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 3 girls out of three children? (Type an integer or a simplified fraction.)Explanation / Answer
Total number of events = 8
a. Probability of exactly 1 boy out of three children = Number of Events favorable for exactly 1 boy out of three children / Total number of events
Events favorable for exactly 1 boy out of three children = (boy,girl,girl),(girl,boy,girl),(girl,girl,boy)
Number of events avorable for exactly 1 boy out of three children =3
Probability of exactly 1 boy out of three children = 3/8
b.Probability of exactly 2 girls out of three children = Number of Events favorable for exactly 2 girls out of three children / Total number of events
Events favorable for exactly 2 girls out of three children = (boy,girl,girl),(girl,boy,girl),(girl,girl,boy)
Number of Events favorable for exactly 2 girls out of three children =3
Probability of exactly 2 girls out of three children = Number of Events favorable for exactly 2 girls out of three children / Total number of events =3/8
Probability of exactly 2 girls out of three children =3/8
c.Probability of exactly 3 girls out of three children = Number of Events favorable for exactly 3 girls out of three children / Total number of events
Events favorable for exactly3 girls out of three children = (girl,girl,girl)
Number of Events favorable for exactly 3 girls out of three children =1
Probability of exactly 3 girls out of three children = Number of Events favorable for exactly 3girls out of three children / Total number of events =1/8
Probability of exactly 3 girls out of three children =1/8
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