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?

(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?

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

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

Step 1

Given Data

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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