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MATH 180A – Introduction to Probability
Homework 2 (due 10/09/06)
1. After asking many individuals across the nation, a researcher comes with the following
conclusion:
65% like dogs
55% like cats
25% like both
(a) What is the proportion of people that like neither?
(b) What is the proportion of people that like exactly one?
(c) What is the proportion of people that like at least one?
(d) What is the proportion of people that like at most one?
(e) What is the proportion of people that like exactly one among those that like at
least one?
(f) What is the proportion of people that like both among those that like at least
one?
(g) What is the proportion of people that do not like cats among those that like dogs?
2. Two fair dice are rolled. What is the probability that the number on the ﬁrst die was
at least as large as 4 given that the sum of the two dice was eight?
3. An urn contains two red balls and four blue balls. A ball is chosen (uniformly) at
random, its color recorded and the ball is replaced, along with one additional ball of
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This homework help was uploaded on 02/03/2008 for the course MATH MATH 180A taught by Professor Castro during the Spring '08 term at UCSD.
 Spring '08
 Castro
 Probability

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