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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

.

Let us assume the events as follows:

Event that cookie has chocolate,

Event that cookie has nuts.

,

,

.

We need to calculate the probability that a cookie does not contain chocolate or nuts

Therefore,

,

Substituting the values, we get

Hence, the probability that a cookie does not contain chocolate or nuts is .   

   

 

       

 

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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