In a box of assorted cookies, 40% contain chocolate and 30% contain nuts. Of those, 10% contain both chocolate and nuts. a. Find the probability that a cookie contains chocolate or nuts: Ans: b. Find the probability that a cookie does not contain chocolate or nuts. Ans:

In a box of assorted cookies, 40% contain chocolate and 30% contain nuts. Of those, 10% contain both chocolate and nuts. a. Find the probability that a cookie contains chocolate or nuts: Ans: b. Find the probability that a cookie does not contain chocolate or nuts. Ans:

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

2. In a box of assorted cookies, 40% contain chocolate and 30% contain nuts. Of
those, 10% contain both chocolate and nuts.
a. Find the probability that a cookie contains chocolate or nuts: Ans:
b. Find the probability that a cookie does not contain chocolate or nuts. Ans:

Expert Solution

Step 1

From the given information,

P(chocolate)=0.40

P(nuts)=0.30

P(chocolate and nuts)=0.10

The probability that a cookie contains chocolate or nuts is,

$P (c h o c o l a t e o r n u t s) = P (c h o c o l a t e) + P (n u t s) - P (c h o c o l a t e a n d n u t s) = 0.4 + 0.3 - 0.1 = 0.6$

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