In a class of 30 students, 19 play tennis, 3 play both tennis and volleyball, and 6 do not play either sport. The following Venn diagram shows the events "plays tennis" and "plays volleyball". The values t and v represent numbers of students.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a class of 30 students, 19 play tennis, 3 play both tennis and volleyball, and 6
do not play either sport.
The following Venn diagram shows the events "plays tennis" and "plays
volleyball". The values t and v represent numbers of students.
plays tennis
plays volleyball
3a. Find the value of t.
3b. Find the value of v.
3c. Find the probability that a randomly selected student from the class
plays tennis or volleyball, but not both.
Transcribed Image Text:In a class of 30 students, 19 play tennis, 3 play both tennis and volleyball, and 6 do not play either sport. The following Venn diagram shows the events "plays tennis" and "plays volleyball". The values t and v represent numbers of students. plays tennis plays volleyball 3a. Find the value of t. 3b. Find the value of v. 3c. Find the probability that a randomly selected student from the class plays tennis or volleyball, but not both.
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