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Problem

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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 the following information:

 

,

 .

Substituting the values, we get

 

Hence, the probability that a course has neither final exam nor a research project is .   

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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