play just hockey, and 10 play just soccer. a. Draw a Venn diagram for the event in this problem. b. What is the probability that a polled member selected at random will play hockey and baseball but not soccer? c. What is the probability that a polled member will play all 3 sports? d. What is the probability that a polled member will play all 3 sports given that he or she plays basketball?

play just hockey, and 10 play just soccer. a. Draw a Venn diagram for the event in this problem. b. What is the probability that a polled member selected at random will play hockey and baseball but not soccer? c. What is the probability that a polled member will play all 3 sports? d. What is the probability that a polled member will play all 3 sports given that he or she plays basketball?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

At an athletic club, a poll is taken of 77 members. It is found that that 45 of the polled members play baseball, 34 plays hockey, 33 play soccer, and 5 play none of the 3 sports. Also, 17 play just baseball, 13 play just hockey, and 10 play just soccer.

a. Draw a Venn diagram for the event in this problem.

b. What is the probability that a polled member selected at random will play hockey and baseball but not soccer?

c. What is the probability that a polled member will play all 3 sports?

d. What is the probability that a polled member will play all 3 sports given that he or she plays basketball?

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