Question 4.62

4.62 Find and explain some probabilities.

  1. Can we have an event that has negative probability? Explain your answer.
  2. Suppose and . Explain what it means for and to be disjoint. Assuming that they are disjoint, find the probability that or occurs.
  3. Explain in your own words the meaning of the rule .
  4. Consider an event . What is the name for the event that does not occur? If , what is the probability that does not occur?
  5. Suppose that and are independent and that and . Explain the meaning of the event { and }, and find its probability.