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Question: Colors of M&M's. If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made.

(a) Here are the probabilities of each color for a randomly chosen plain M&M:

Color:               Brown       Red       Yellow        Green         Orange        Blue

Probability:         0.13        0.13       0.14           0.16           0.20            ?

What must be the probability of drawing a blue candy?

(b) The probabilities for peanut M&M's are a bit different. Here they are:

Color:               Brown       Red       Yellow        Green         Orange        Blue

Probability:         0.12        0.12       0.15           0.15           0.23            ?

What is the probability that a peanut M&M chosen at random is blue?

(c) What is the probability that a plain M&M is any of red, yellow, or orange? What is the probability that a peanut M&M has one of these colors?

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