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).

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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?
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).
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.
Purple
Blue
Color
Percentage
Yellow
Red
Orange
Green
Brown
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?
O No. Choosing a green and blue M&M is possible.
O No. Choosing a green and blue M&M is not possible.
O Yes. Choosing a green and blue M&M is possible.
O 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?
O No. Choosing a yellow and red M&M is not possible.
O No. Choosing a yellow and red M&M is possible.
O Yes. Choosing a yellow and red M&M is possible.
O Yes. Choosing a yellow and red M&M is not possible.
(c) Find P(not purple candy).
Transcribed Image Text: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. Purple Blue Color Percentage Yellow Red Orange Green Brown 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? O No. Choosing a green and blue M&M is possible. O No. Choosing a green and blue M&M is not possible. O Yes. Choosing a green and blue M&M is possible. O 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? O No. Choosing a yellow and red M&M is not possible. O No. Choosing a yellow and red M&M is possible. O Yes. Choosing a yellow and red M&M is possible. O Yes. Choosing a yellow and red M&M is not possible. (c) Find P(not purple candy).
Expert Solution
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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