1. When a die is rolled, find the probability of getting a
c. Number less than 5
2. When a card is selected from a deck, find the probability of getting
a. A club
b. A face card or a heart
c. A6 and a spade
d. A king
e. A red card
3. In a survey conducted at a local restaurant during
breakfast hours, 20 people preferred orange juice, 16
preferred grapefruit juice, and 9 preferred apple juice
with breakfast. If a person is selected at random, find
the probability that she or he prefers grapefruit juice.
4. If a die is rolled one time, find these probabilities.
a. Getting a 5
b. Getting an odd number
c. Getting a number less than 3
5. A recent survey indicated that in a town of 1500
households, 850 had cordless telephones. If a household
is randomly selected, find the probability that it has a
6. During a sale at a men’s store, 16 white sweaters, 3 red sweaters, 9 blue sweaters, and 7 yellow sweaters were
purchased. If a customer is selected at random, find the
probability that he bought
a. A blue sweater
b. A yellow or a white sweater
c. A red, a blue, or a yellow sweater
d. A sweater that was not white
7. At a swimwear store, the managers found that 16
women bought white bathing suits, 4 bought red suits,
3 bought blue suits, and 7 bought yellow suits. If a
customer is selected at random, find the probability that
a. A blue suit
b. A yellow or a red suit
c. A white or a yellow or a blue suit
d. A suit that was not red
8. When two dice are rolled, find the probability of getting a. A sum of 5 or 6
b. A sum greater than 9
c. A sum less than 4 or greater than 9
d. A sum that is divisible by 4
e. A sum of 14
f. A sum less than 13
9. The probability that a person owns a car is 0.80, that a
person owns a boat is 0.30, and that a person owns both
a car and a boat is 0.12. Find the probability that a
person owns either a boat or a car.
10. There is a 0.39 probability that John will purchase a
new car, a 0.73 probability that Mary will purchase a
new car, and a 0.36 probability that both will purchase
a new car. Find the probability that neither will purchase
a new car.
11. A Gallup Poll found that 78% of Americans worry
about the quality and healthfulness of their diet. If 5
people are selected at random, find the probability that
all 5 worry about the quality and healthfulness of
Source: The Book of Odds.
12. Of Americans using library services, 67% borrow books.
If 5 patrons are chosen at random, what is the probability
that all borrowed books? That none borrowed books?
Source: American Library Association.
13. Three cards are drawn from an ordinary deck without
replacement. Find the probability of getting
a. All black cards
b. All spades
c. All queens
14. A coin is tossed and a card is drawn from a deck. Find
the probability of getting
a. A head and a 6
b. A tail and a red card
c. A head and a club
15. A box of candy contains 6 chocolate-covered cherries,
3 peppermints, 2 caramels, and 2 strawberry creams. If
a piece of candy is selected, find the probability of
getting a caramel or a peppermint.
16. A manufacturing company has three factories: X, Y, and
Z. The daily output of each is shown here.
Product Factory X Factory Y Factory Z
TVs 18 32 15
Stereos 6 20 13
If one item is selected at random, find these probabilities. a. It was manufactured at factory X or is a stereo.
b. It was manufactured at factory Y or factory Z.
c. It is a TV or was manufactured at factory Z.
17. A vaccine has a 90% probability of being effective in
preventing a certain disease. The probability of getting
the disease if a person is not vaccinated is 50%. In a
certain geographic region, 25% of the people get
vaccinated. If a person is selected at random, find the
probability that he or she will contract the disease.
18. A manufacturer makes three models of a television set,
models A, B, and C. A store...