Wyatt Earp conducted a study of Bounty Hunters in order to determine which methods were most effective in capturing their targets and returning them for bounty. In this study, it was found that 41% use Winchesters. Suppose that of those bounty hunters who use Winchesters, 10% also carry a six-shooter. In addition, suppose that of the bounty hunters who do not use Winchesters, 60% do carry a six-shooter. If a Bounty Hunter is randomly selected, determine the following probabilities:
a. The Bounty Hunter uses Winchesters or carries a six-shooter.
b. The Bounty Hunter uses Winchesters and does not carry a six-shooter.
c. The Bounty Hunter uses neither Winchesters nor a six-shooter.
d. The Bounty Hunter uses Winchesters or a six-shooter, but not both.
e. Given that the Bounty Hunter carries a six-shooter, what is the probability that he does not use Winchesters?