4.105 Exercise and sleep. Suppose that 42% of adults get enough sleep, 39% get enough exercise, and 28% do both. Find the probabilities of the following events:

  1. (a) Enough sleep and not enough exercise.

  2. (b) Not enough sleep and enough exercise.

  3. (c) Not enough sleep and not enough exercise.

  4. (d) For each of parts (a), (b), and (c), state the rule that you used to find your answer.