Question 4.41

4.41 Legitimate probabilities?

In each of the following situations, state whether or not the given assignment of probabilities to individual outcomes is legitimate—that is, satisfies the rules of probability. If not, give specific reasons for your answer.

  1. When a coin is spun, and .
  2. When a coin flipped twice, , , , and .
  3. Plain M&M'S have not always had the mixture of colors given in Exercise 4.39. In the past there were no red candies and no blue candies. Tan had probability 0.10, and the other four colors had the same probabilities that are given in Exercise 4.39.

4.41

(a) Legitimate. (b) Not legitimate, probabilities add to more than 1. (c) Not legitimate, probabilities add to less than 1.