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?