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.