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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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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