Textbook ExpertVerified Tutor
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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