50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and the results were as follows: 28 play basketball 21 play hockey 26 play soccer 14 play basketball and hockey 12 play hockey and soccer 15 play basketball and soccer 10 play all three sport

50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and the results were as follows: 28 play basketball 21 play hockey 26 play soccer 14 play basketball and hockey 12 play hockey and soccer 15 play basketball and soccer 10 play all three sport

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

50 students at Holy Spirit High were interviewed to determine what sports they played, if any, and the results were as follows:

28 play basketball
21 play hockey
26 play soccer
14 play basketball and hockey
12 play hockey and soccer
15 play basketball and soccer
10 play all three sport

What is the probability that the students play basketball and hockey but not soccer?

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