(a) What is the probability that their first child will have green eyes and the second will not? 0.109375 (b) What is the probability that exactly one of their two children will have green eyes? 0.21875 (c) If they have 5 children, what is the probability that exactly 2 will have blue eyes? 0.0028

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Eye Color
Consider a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125
probability of having children with blue eyes, and 0.125 probability of having children with green eyes.
(a) What is the probability that their first child will have green eyes and the second will not? 0.109375
(b) What is the probability that exactly one of their two children will have green eyes? 0.21875
(c) If they have 5 children, what is the probability that exactly 2 will have blue eyes? 0.0028
(d) If they have 5 children, what is the probability that at least 2 will have green eyes? 0.0028
(e) What is the probability that the first brown eyed child will be child number 3? 0.046875
Transcribed Image Text:Eye Color Consider a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. (a) What is the probability that their first child will have green eyes and the second will not? 0.109375 (b) What is the probability that exactly one of their two children will have green eyes? 0.21875 (c) If they have 5 children, what is the probability that exactly 2 will have blue eyes? 0.0028 (d) If they have 5 children, what is the probability that at least 2 will have green eyes? 0.0028 (e) What is the probability that the first brown eyed child will be child number 3? 0.046875
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