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M&M; plain candies come in various colors. According to the M Department of cons

ID: 3176491 • Letter: M

Question

M&M; plain candies come in various colors. According to the M Department of consumer Affairs, the distribution of colors for plain M&M; candies is as follows. Suppose you have a large bag of plain M&M; candies and you choose one candy at random Find P (green candy or blue candy). Are these outcomes mutually exclusive? Why? Yes, choosing a green and blue M&M; is not possible. No. Choosing a green and blue M&M; is not possible. No. Choosing a green and blue M&M; is possible. Yes. Choosing a green and blue M&M; is possible. Find P (yellow candy or red candy). Are these outcomes mutually exclusive? Why? No. Choosing a yellow and red M&M; is possible. No. Choosing yellow and red M&M; is not possible. Yes. 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)

Explanation / Answer

a) P(Green candy or blue candy) = P(Green candy) + P(blue candy) = 6% + 10% = 16%

Here the outcomes are mutually exclusive as choosing a green and blue M&M is not possible.

b) P(yellow candy or red candy) = P(yellow candy) + P(red candy) = 17% + 22% = 39%

Here the outcomes are mutually exclusive as choosing a yellow and red M&M is not possible.

c) P(not purple candy) = 100% - P(purple candy) = 100% - 23% = 77%