At Cityville High School, 36% of the students participate in sports, 36% of the students participate in academic clubs, and 13% of the students participate in both sports and academic clubs.Find the proportion of students who participate in either sports or academic clubs.

Question
Asked Sep 12, 2019

At Cityville High School, 36% of the students participate in sports, 36% of the students participate in academic clubs, and 13% of the students participate in both sports and academic clubs.

Find the proportion of students who participate in either sports or academic clubs.

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Expert Answer

Step 1

Consider S is an event when a student participates in sports and A is an event when a student participates in academic clubs.

 

The provided information is:

The proportion of those students who participate in sports is 36%.
P(S) 0.36
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The proportion of those students who participate in sports is 36%. P(S) 0.36

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Step 2

The proportion of those students who part...

P(A) 0.36
The proportion of those students who participate in both sports and
academic clubs is 13%.
P(SnA) 0.13
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P(A) 0.36 The proportion of those students who participate in both sports and academic clubs is 13%. P(SnA) 0.13

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