Answer the following questions relating to events in probability:
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Answer the following questions relating to events in probability:
(i) Define mutually exclusive events and independent events.
(ii) State the rule that gives the probability of the union of two events in terms of the probabilities of the individual events and their intersection.
(iii) Using the definitions in part (i) together with the rule stated in part (ii), explain why two events that are mutually exclusive cannot be independent unless the probability of at least one of them is zero.