M&M; plain candies come in various colors. According to the M&M;/Mars Department
ID: 3370372 • Letter: M
Question
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. Brown 18% Color Purple Yellow Red Orange Green Blue Percentage | 20% 19% 18% 8% 7% 10% 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? Yes. Choosing a green and blue M&M; is possible. 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. (b) Find P(yellow candy or red candy). Are these outcomes mutually exclusive? Why? No. Choosing a yellow and red M&M; is possible. O No. Choosing a yellow and red M&M; is not possible. Yes. Choosing a yellow and red M&M; is not possible. Yes. Choosing a yellow and red M&M; is possible. (c) Find P(not purple candy).Explanation / Answer
a) P( green or blue ) = 0.07 + 0.1 = 0.17
Therefore 0.17 is the required probability here.
Yes, the two events here are mutually exclusive because we cannot together choose both a green or a blue marble. Therefore Yes, choosing a green and a blue marble is not possible is the correct answer here.
b) P( yellow or red ) = 0.19 + 0.18 = 0.37
Therefore 0.37 is the required probability here.
Yes, the two events here are mutually exclusive because we cannot together choose both a yellow or a red marble. Therefore Yes, choosing a yellow and a red marble is not possible is the correct answer here.
c) P( not purple candy ) = 1 - P( purple candy ) = 1 - 0.2 = 0.8
Therefore 0.8 is the required probability here.
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