4.22 What’s wrong? In each of the following scenarios, there is something wrong. Describe what is wrong and give a reason for your answer.

1. (a) If the sample space consists of two outcomes, then each outcome has probability 0.5.

2. (b) If we select a digit at random, then the probability of selecting a 3 is 0.3.

3. (c) If the probability of A is 0.3, the probability of B is 0.4, and the probability of A and B is 0.5, then A and B are independent.