Unformatted text preview: A,B : (a) if p ( A ) + p ( B ) > 1, then p ( A ∩ B ) > 0. (b) If p ( A ) > ,p ( B ) > 0, and p ( A | B ) > p ( A ), then p ( B | A ) > p ( B ). Question 4. [6 marks] I have three 1 cent coins, one of which is a counterfeit. The counterfeit coin turns up leaf 60% of the times when tossed, whereas the other two are fair coins (they turn up leaf 50% of the times). I pick one of the three coins at random, and toss it twice. I get one leaf and one queen, in that order. What is the probability that I picked the counterfeit coin? 1...
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- Spring '11