A local high school only has two sports teams with a total of 297 students on sports teams: a basketball team and a baseball team. There are 106 students on the baseball team, 134 students on the basketball team, and 57 students are on both the basketball team and the baseball team. Find the probability a randomly chosen student athlete is on the baseball team or on the basketball team. Please round your answer to two decimal places.

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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A local high school only has two sports teams with a total of 297 students on sports teams: a basketball team and a baseball team. There are 106 students on the baseball team, 134 students on the basketball team, and 57 students are on both the basketball team and the baseball team. Find the probability a randomly chosen student athlete is on the baseball team or on the basketball team. Please round your answer to two decimal places.

Expert Solution
Step 1

Let us denote :

A=base ball team

B=basketball team

 


Given that n(A)=106, n(B)=134, n(A and B)=57

 


We have to find P(A or B)=?

 

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