M&M plain candies come in various colors. According to the M&M/Mars Department o
ID: 3371319 • 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.
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 not possible.
Yes. Choosing a green and blue M&M is possible.
No. Choosing a green and blue M&M is 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?
Yes. Choosing a yellow and red M&M is not possible.
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.
(c) Find P(not purple candy).
Explanation / Answer
(a) P(green or blue) = 0.08+0.1 = 0.18.
Yes. these outcomes are mutually exclusive. Because, choosing green and blue M&M is not possible.
(b) P(yellow or red) = 0.21+0.2 = 0.41
Yes. these outcomes are mutually exclusive. Because, choosing yellow and red M&M is not possible.
(c) P(not purple) = 1 - P(purple) = 1 - 0.18 = 0.82
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.