A firm specializing in new medical discoveries believes that the probability that a product launch is successful is 0.10, but the probability of a successful product launch given a major publicity...

A firm specializing in new medical discoveries believes that the probability that a product launch is successful is 0.10, but the probability of a successful product launch given a major publicity event is 0.25. The probability of a major event is 0.40.

a. Represent the three probabilities given in this question as probabilities of events, such as
 = 0.10. You do the other two.⁷

b. Are successful product launches independent of major events?
⁸

c. What is the probability of a successful product launch and a major publicity event?
⁹