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.ColorPurpleYellowRedOrangeGreenBlueBrownPercentage21%23%18%6%8%10%14%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?No. Choosing a green and blue M&M is possible.Yes. Choosing a green and blue M&M is not possible.     No. Choosing a green and blue M&M is not possible.Yes. Choosing a green and blue M&M is possible.(b) Find P(yellow candy or red candy). Are these outcomes mutually exclusive? Why?Yes. Choosing a yellow and red M&M is possible.No. Choosing a yellow and red M&M is not possible.     No. Choosing a yellow and red M&M is possible.Yes. Choosing a yellow and red M&M is not possible.(c) Find P(not purple candy).

Question
Asked Oct 6, 2019
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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 21% 23% 18% 6% 8% 10% 14%

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?
No. Choosing a green and blue M&M is possible.Yes. Choosing a green and blue M&M is not possible.     No. Choosing a green and blue M&M is not possible.Yes. Choosing a green and blue M&M is possible.


(b) Find P(yellow candy or red candy).

Are these outcomes mutually exclusive? Why?
Yes. Choosing a yellow and red M&M is possible.No. Choosing a yellow and red M&M is not possible.     No. Choosing a yellow and red M&M is possible.Yes. Choosing a yellow and red M&M is not possible.


(c) Find P(not purple candy).

 

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Expert Answer

Step 1

Given Data

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Yellow Red Orange Green Purple Percentage 21% Colour Blue Brown 6% 23% 18% 8% 10 14

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Step 2

a)

P (green candy or blue candy) is given by

=P (green candy) + P (Blue candy) + P (green and blue candy)

= 0.08 + 0.1+ 0 = 0.18

Yes, these outcomes are mutually exclusive because Choosing a green and blue M&M is not possible

b)

 P (yellow candy or red candy) is given by

=P (yellow candy) + P (Red candy) + P (yellow and and candy...

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