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Department of Chemical Engineering
University of California, Santa Barbara
Ch.E.
132C
Winter, 2006
Quiz 1
1.
(25 points)
A shipment consists of 160 items: 40 items are oversized, 20 are
undersized, and 100 meet the specifications. Suppose that two items are drawn at
random without replacement.
Calculate the probability that both items are
undersized or both are oversized.
2.
(25 points)
Twenty five athletes hope to win a medal (either gold, silver or
bronze) in a competition at the Winter Olympics. All of the 25 athletes have
approximately the same ability.
a.
(10 points)
How many different arrangements of medal winners can
occur?
b.
(15 points)
If three of the athletes are good friends, what is the probably
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 Fall '11
 PETERS
 Chemical Engineering

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