The colors of candies such as M&M’s are carefully chosen to match consumer preferences.

| November 19, 2015

The colors of candies such as M&M’s are carefully chosen to match consumer preferences. The color of an M&M drawn at random from a bag has a probability distribution determined by the proportions of colors among all M&M’s of that type.

(a)   Here is the distribution for plain M&M’s:

Color         Brown    Red   Yellow Green  Orange Blue

Probability     0.3       0.2       0.2       0.1       0.1       ?

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 OrangeBlue

Probability     0.2       0.2       0.2       0.1       0.1         ?

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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The colors of candies such as M&M’s are carefully chosen to match consumer preferences. The color of an M&M drawn at random from a bag has a probability distribution determined by the proportions of colors among all M&M’s of that type. (a) Here is the distribution for plain M&M’s: Color Brown Red Yellow Green Orange Blue Probability 0.3 0.2 0.2 0.1 0.1 ? 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 OrangeBlue Probability 0.2 0.2 0.2 0.1 0.1 ? 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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