MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows.
Color | Purple | Yellow | Red | Orange | Green | Blue | Brown |
Percentage | 20% | 18% | 22% | 8% | 7% | 10% | 15% |
Suppose you have a large bag of plain M&M candies and you choose one candy at random.
(a) Find P(green candy or blue candy).
Are these outcomes mutually exclusive? Why?
(b) Find P(yellow candy or red candy).
Are these outcomes mutually exclusive? Why?
(c) Find P(not purple candy).
Are these outcomes mutually exclusive? Why?
a. No. Choosing a green and blue M&M is possible.
b. No. Choosing a green and blue M&M is not possible.
c. Yes. Choosing a green and blue M&M is possible.
d. Yes. Choosing a green and blue M&M is not possible.
(b) Find P(yellow candy or red candy).
Are these outcomes mutually exclusive? Why?
a. No. Choosing a yellow and red M&M is not possible.
b. No. Choosing a yellow and red M&M is possible.
c. Yes. Choosing a yellow and red M&M is possible.
d. Yes. Choosing a yellow and red M&M is not possible.
(c) Find P(not purple candy).
Expert Solution
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Step 1
a)
here selecting green candy and blue candy at same time not possible so
p(green candy and blue candy ) = 0 that is mutually exclusive event
P(green candy or blue candy).
= 0.07 + 0.1
=0.17 answer
here from above explanation answer is D) yes, choosing a green and blue m&m is not possible
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