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MIT6_042JS10_lec34_prob

# MIT6_042JS10_lec34_prob - Massachusetts Institute of...

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Massachusetts Institute of Technology 6.042J/18.062J, Spring ’10 : Mathematics for Computer Science Prof. Albert R. Meyer revised April 22, 2010, 668 minutes In-Class Problems Week 12, Fri. Problem 1. There are two decks of cards. One is complete, but the other is missing the ace of spades. Sup- pose you pick one of the two decks with equal probability and then select a card from that deck uniformly at random. What is the probability that you picked the complete deck, given that you selected the eight of hearts? Use the four-step method and a tree diagram. Problem 2. There are three prisoners in a maximum-security prison for fictional villains: the Evil Wizard Voldemort, the Dark Lord Sauron, and Little Bunny Foo-Foo. The parole board has declared that it will release two of the three, chosen uniformly at random, but has not yet released their names. Naturally, Sauron figures that he will be released to his home in Mordor, where the shadows lie, with probability 2 / 3 .

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MIT6_042JS10_lec34_prob - Massachusetts Institute of...

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