MAT 2051 Discrete Mathematics Unit 4 Quiz2

MAT 2051 Discrete Mathematics Unit 4 Quiz2

Question 1          How many different eight-bit strings begin with 100?

Answers:

a. 4.

b. 32.

c. 64.

d. 16.

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Question 2How many strings can be formed using the letters in the word router (that is, R-O-U-T-E-R)?

Answers:

a. 6!/2!

b. C(6, 1).

c. (6 1)!

d. C(1, 6).

Question 3          There are 100 processors, 30 of which are defective. If you select 20 microprocessors from these 100 microprocessors, what is the probability that you select no defective processors?

Answers:

a. C(100, 10)/C(30, 20).

b. C(100, 20).

c. C(100, 20)/C(70, 20).

d. C(70, 20)/C(100, 20).

Question 4          What is the probability of drawing a queen from a standard deck of cards?

a. 2/52.

b. 10%.

c. 8/52.

d. 4/52.

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Question 5          Assume the probability of having a boy or a girl is the same. If a family has five children, what is the probability that they are all boys?

Answers:

a. 1/32.

b. 1/16.

c. 1/2 + 1/2 + 1/2 + 1/2 + 1/2.

d. 1/2.