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Unformatted text preview: ACM116 - Winter 2008-2009 - Homework #1 Handed out: Jan 15, 2009, Due: Jan 22, 2009 Please write down your solutions clearly and concisely, put the problems in order, and box your answers. Presentation will be worth a couple of extra points. 1/ There are 30 psychiatrists and 24 psychologists attending a certain con- ference. Three of these 54 people are randomly chosen to take part in a panel discussion. What is the probability that at least one psychologist is chosen? 2/ Suppose that we have two well-shuffled decks of cards and we draw a card at random from each deck. What is the probability of drawing the ace of spades, followed by the jack of hearts? What is the probability of drawing an ace and a jack (in either order)? For this problem, describe the probability space ( , U , P ) and describe the two events above in terms of this space. 3/ Both members of a married couple carry the genes for brown eyes and for blue eyes. They have 4 children. What is the probability that exactly 3 of the 4 children have brown eyes? (Each child has a 50 % chance of getting the blue eye gene from each parent, and a child will have blue eyes only if...
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