Bob goes to the bakery and purchases one dozen doughnuts. He gets six chocolate, four glazed, and two plain doughnuts. Paul (Bob's co-worker) reaches into the box and randomly picks two doughnuts. What is the probability that both of these first two doughnuts are not glazed? 6. 7. In California, there is a guy who was pulled over for drunk driving. The guy claims he isn't intoxicated, but the policemen do not believe him and give him two different tests to determine his blood alcohol level. He will go to jail if one of the tests indicates that he is drunk. If test A has a 97% chance of being correct and test B has a 95% chance of being correct, what is the probability of him going to jail for drunk driving (assuming that he is indeed drunk)? [Assume the tests operate independently from each other.]

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