# Vehicle Registration Plate and Stereo Sound

**Topics:**Vehicle registration plate, Randomness, Stereophonic sound

**Pages:**6 (1667 words)

**Published:**November 2, 2010

1. When a die is rolled, find the probability of getting a

a. 5

b. 6

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

cordless telephone.

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

she bought

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

their diet.

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...

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