The Masterfoods Company says that yellow candies make up 20% of their plain M&M’

Question

The Masterfoods Company says that yellow candies make up 20% of their plain M&M’s, red another 20%, and orange, blue, and green each make up 10%. The rest are brown.

a. If you randomly pick two M&M’s, what’s the probability that they are both brown? Round to TWO digits beyond the decimal.

b. If you randomly pick two M&M’s, what’s the probability that exactly one of the two is yellow? Round to TWO digits beyond the decimal.

c. If you randomly pick three M&M’s, what’s the probability that the third one is the first one that’s red?Round to THREE digits beyond the decimal.

d. If you randomly pick three M&M’s, what’s the probability that none are yellow? Round to THREE digits beyond the decimal.

e. If you randomly pick four M&M’s, what’s the probability that at least one is green? Round to THREE digits beyond the decimal.

Explanation / Answer

A) P(brown) = 1 - (0.2+0.2+0.1x3)

= 0.3

P(both are brown) = 0.3x0.3 = 0.09

B) P(yellow) = 0.2

P(not yellow) = 0.8

P(exactly one yellow) = 2C1 x 0.8 x0.2 = 0.32

C) P(red) = 0.2

P(third one is the first red) = 0.8x0.8x0.2 = 0.128

D) P(not yellow) = 0.8

P(none of the three are yellow) = 0.8x0.8x0.8 = 0.512

E) P(green) = 0.1

P(not green) = 0.9

P(at least one green) = 1 - P(all 3 are not green)

= 1 - 0.9x0.9x0.9

= 0.271

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