Question 1

The complement of P(A | B) is

Accepted Answer

A)  P(AC | 
B) . 
B)  P(A | B
C) . 
C)  P(B | 
A) . 
D)  P(A  
B) .

Question 2

If A and B are mutually exclusive events with P(A) = 0.25 and P(B) = 0.4, then P(A ∪ B) =

Accepted Answer

A)  0. 
B)  0.15. 
C)  0.1. 
D)  0.65.

Question 3

An experiment consists of selecting a student body president and vice president. All undergraduate students (freshmen through seniors) are eligible for these offices. How many sample points (possible outcomes as to the classifications) exist?

Accepted Answer

A)  4 
B)  16 
C)  8 
D)  32

Question 4

A method of assigning probabilities which assumes that the experimental outcomes are equally likely is referred to as the _____ method.

Accepted Answer

A)  objective 
B)  classical 
C)  subjective 
D)  experimental

Question 5

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∩ B) =

Accepted Answer

A)  0.65. 
B)  0.1. 
C)  0.625. 
D)  0.15.

Question 6

An experiment consists of three steps. There are five possible results on the first step, two possible results on the second step, and three possible results on the third step. The total number of experimental outcomes is

Accepted Answer

A)  10. 
B)  625. 
C)  150. 
D)  180.

Question 7

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

Accepted Answer

A)  16. 
B)  8. 
C)  4. 
D)  2.

Question 8

Two events are mutually exclusive

Accepted Answer

A)  if their intersection is 1. 
B)  if they have no sample points in common. 
C)  if their intersection is 0.5. 
D)  if most of their sample points are in common.

Question 9

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the _____ method.

Accepted Answer

A)  relative frequency 
B)  subjective 
C)  classical 
D)  posterior

Question 10

​A list of all possible outcomes of an experiment is called the

Accepted Answer

A)  ​sample space. 
B)  ​sample point. 
C)  ​event. 
D)  ​likelihood set.

Question 11

Any process that generates well-defined outcomes is a(n)

Accepted Answer

A)  event. 
B)  experiment. 
C)  sample point. 
D)  sample space.

Question 12

The probability of an intersection of two events is computed using the _____ law.

Accepted Answer

A)  addition 
B)  subtraction 
C)  multiplication 
D)  division

Question 13

If A and B are independent events with P(A) = .1 and P(B) = .4, then

Accepted Answer

A)  P(A ) 
B)  = 0. 
B)  P(A ) 
B)  = .04. 
C)  P(A * 
B)  = .5. 
D)  P(A ? 
B)  = .25.

Question 14

From nine cards numbered 1 through 9, two cards are drawn. Consider the selection and classification of the cards as odd or even as an experiment. How many sample points are there for this experiment?

Accepted Answer

A)  2 
B)  3 
C)  4 
D)  9

Question 15

The symbol ∩ shows the

Accepted Answer

A)  union of events. 
B)  intersection of two events. 
C)  sum of the probabilities of events. 
D)  sample space.

Question 16

If P(A) = 0.4, P(B | A) = 0.35, P(A ∪ B) = 0.69, then P(B) =

Accepted Answer

A)  0.14. 
B)  0.43. 
C)  0.75. 
D)  0.59.

Question 17

The probability of at least one head in two flips of a coin is​

Accepted Answer

A)  ​0.25. 
B)  ​0.33. 
C)  ​0.50. 
D)  ​0.75.

Question 18

The sample space refers to

Accepted Answer

A)  any particular experimental outcome. 
B)  the sample size minus one. 
C)  the set of all possible experimental outcomes. 
D)  an event.

Question 19

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called the counting rule for

Accepted Answer

A)  permutations. 
B)  combinations. 
C)  independent events. 
D)  multiple-step random experiments.

Question 20

Some of the CDs produced by a manufacturer are defective. From the production line, 4 CDs are selected and inspected. How many sample points exist in this experiment?

Accepted Answer

A)  4 
B)  8 
C)  16 
D)  256

Exam 4: Introduction to Probability