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

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

Subject:MathPrice: Bought3

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 Orange Blue

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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