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28 Oct 2021

Given information

In a box of assorted cookies,   contain chocolate and  contain nuts. Of those,  contain both chocolate and
nuts. Sean is allergic to both chocolate and nuts.
 

Step-by-step explanation

Step 1.

Let and  be two events, then we have

 

Let the events be

  Event that a course has a final exam,

  Event that a course has a research paper.

We Have

,

,

.

We need to calculate the probability that a course has a final exam or a research project

Thus is given as

       

Substituting the values, we get

 

Hence, the probability that a course has a final exam or a research project is  

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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