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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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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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