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Problem

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26 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

,

Event that cookie has chocolate,

Event that cookie has nuts.

 ,

 ,

 ,

We need to calculate the probability that a cookie contains chocolate or nuts,

Therefore,

 ,

Substituting the values, we get

 ,

 ,

.

Hence, the probability that a cookie contains chocolate or nuts is .        

   

          

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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