18.18 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: | Blue | Orange | Green |
| Probability: | 0.24 | 0.20 | 0.16 |
| Color: | Yellow | Red | Brown |
| Probability: | 0.14 | 0.13 | ? |
What must be the probability of drawing a brown candy?
(b) The probabilities for peanut M&M’s are a bit different. Here they are:
| Color: | Blue | Orange | Green |
| Probability: | 0.23 | 0.23 | 0.15 |
| Color: | Yellow | Brown | Red |
| Probability: | 0.15 | 0.13 | ? |
What is the probability that a peanut M&M chosen at random is red?
(c) What is the probability that a plain M&M is any of blue, yellow, or orange? What is the probability that a peanut M&M has one of these colors?