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MATH 2565
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Jagmohan Chawla
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York University

Mathematics and Statistics

MATH 2565

Jagmohan Chawla

Winter

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PPS5
Problem 14.19: Real estate ads suggest that 64% of homes for sale have garages, 21%
have swimming pools, and 17% have both features. What is theb probability that a home
for sale has
a) A pool or a garage?
b) Neither a pool nor a garage?
c) A pool but no garage?
Problem 15.7: You roll a fair die three times. What is the probability that
a) You roll all six’s?
b) You roll all odd numbers?
c) None of your rolls gets a number divisible by 3?
d) You roll at least one 5?
e) The numbers you roll are not all 5’s?
Problem 15.17: You draw a card at random from a standard deck of 52 cards. Find
each of the following conditional probabilities:
a) The card is a heart, given that it is red.
b) The card is red, given that it is heart?
c) The card is an ace, given that it is red?
d) The card is a queen, given that it is a face card?
Problem 15.21: A video store investigates the type of movies their customers rent.
They record the customer’s age and the movie genre of 240 recent rentals. Suppose
the data break down as follows:
Type of Movie
Age Documentary Comedy Mystery Total
12-20 14 9 8 31
21-29 15 14 9 38
30-39 9 21 39 69
40-49 7 22 17 46
50 and over 6 38 12 56
Total 51 104 85 240
a) Among 21-29 year olds, what is the probability that a person rented a
documentary?
b) Among people who rented documentaries, what is the probability that the renter
was 21-29 years old?
c) If a renter was over 30 years old, what is the probability that they selected a
comedy?
d) If the renter didn’t select a comedy, what is the probability they were over 30?
Problem 15.33: Given the table of probabilities from Exercise 19, are high blood
pressure and high cholesterol independent? Explain.
Blood Pressure

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