(Answered) The tv show mythbusters puts a popular myth to the test on

Statistics

The TV Show "MythBusters" puts a popular myth to the test on each episode. The myth is either verified as true or disproven as false (that is, "busted"). Of the myths put to the test on the show, 60% get busted. Many of the myths involve fire, and of these, 80% get busted. Of all the other myths that don't involve fire, 50% get busted..

(a) If a myth involves fire, what is the chance that it will be verified as true?

(b) You watch an episode of MythBusters. What is the chance that it involves fire?

(c) Suppose that on the next episode of MythBusters the myth is verified as true. What is the chance that it involved fire?

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