4. Assume it is equally likely that a child is born a boy or a girl. a. Draw a tree diagram and list the possible outcomes for a family of 2 children. b. What is the probability that in a family of 2 children, both will be girls. c. Extend the tree diagram and list the possible outcomes for 3 children. What is the probability that in a family of 3, all will be boys?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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4. Assume it is equally likely that a child is born a boy or a girl.
a. Draw a tree diagram and list the possible outcomes for a family of 2
children.
b. What is the probability that in a family of 2 children, both will be girls.
c. Extend the tree diagram and list the possible outcomes for 3 children.
What is the probability that in a family of 3, all will be boys?
Page 9 of 15
Transcribed Image Text:4. Assume it is equally likely that a child is born a boy or a girl. a. Draw a tree diagram and list the possible outcomes for a family of 2 children. b. What is the probability that in a family of 2 children, both will be girls. c. Extend the tree diagram and list the possible outcomes for 3 children. What is the probability that in a family of 3, all will be boys? Page 9 of 15
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