Question 1

A compound event consists of two or more outcomes or simple events.

Accepted Answer

A) True 
 B)False

Question 2

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be  .

Accepted Answer

A) True 
 B)False

Question 3

If a card is drawn from an ordinary deck of cards, and then a second card is drawn from the same deck without replacing the first card, these two events are ________________.

Accepted Answer

The answer of If a card is drawn from an...

Question 4

A probability experiment has two steps. There are two possible results for the first step, call them "A" and "B". If the result for the first step was "A", then there would be 4 possible results for the second step. If the result for the first step was "B", then there would be 15 possible results for the second step. How many possible outcomes are there for this experiment?

Accepted Answer

A)  60 
B)  9 
C)  15 
D)  19

Question 5

If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?

Accepted Answer

The answer of If five cards are drawn from a...

Question 6

According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 4 adults at random. The probability that all of them enjoy drinking beer is:

Accepted Answer

A)  0.250 
B)  3.200 
C)  0.200 
D)  0.410

Question 7

The statement, "The probability that a certain sports team will win it's next game is about 60%," is an example of

Accepted Answer

A)  classical probability. 
B)  empirical probability. 
C)  subjective probability. 
D)  a sample space.

Question 8

How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row?

Accepted Answer

A)  10 
B)  120 
C)  240 
D)  360

Question 9

If 30 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

Accepted Answer

A)   
B)   
C)   
D)

Question 10

In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using the figure below, how many outcomes are possible if both numbers are even?

Accepted Answer

A)  16 
B)  4 
C)  6 
D)  8

Question 12

There are __________ possible ways that eight pictures can be hung along a wall.

Accepted Answer

The answer of There are __________ possible ways that eight...

Question 13

A coin is tossed 5 times. Find the probability that all 5 tosses are tails.

Accepted Answer

A)   
B)   
C)   
D)

Question 14

A box contains blue chips and red chips. A person selects two chips without replacement. If the probability of selecting a blue chip and a red chip is  , and the probability of selecting a blue chip on the first draw is  , find the probability of selecting the red chip on the second draw, given that the first chip selected was a blue chip.

Accepted Answer

A)   
B)   
C)   
D)

Question 15

When the outcome of event A does not affect the probability of the outcome of a subsequent event B, then the events are said to be dependent.

Accepted Answer

A) True 
 B)False

Question 16

If two dice are rolled one time, find the probability of getting a sum less than 5.

Accepted Answer

A)   
B)   
C)   
D)

Question 17

There are 2,368 possible ways that a committee of eight people can be selected from a group of 14 people.

Accepted Answer

A) True 
 B)False

Question 18

A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is

Accepted Answer

A)   
B)   
C)   
D)

Question 19

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Accepted Answer

A)  5,040 
B)  210 
C)  840 
D)  420

Question 20

Evaluate the following: 7C3.

Accepted Answer

A)  210 
B)  5,040 
C)  35 
D)  6

Exam 4: Probability and Counting Rules

A compound event consists of two or more outcomes or simple events.

A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random, the probability that it is white or black would be .

If a card is drawn from an ordinary deck of cards, and then a second card is drawn from the same deck without replacing the first card, these two events are ________________.

If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?

According to popular belief, 80% of adults enjoy drinking beer. Choose a group of 4 adults at random. The probability that all of them enjoy drinking beer is:

The statement, "The probability that a certain sports team will win it's next game is about 60%," is an example of

How many different ways can 5 brands of soda be displayed on a supermarket's shelf, one at a time in a row?

If 30 tickets are sold and 2 prizes are to be awarded, find the probability that one person will win both prizes if that person buys exactly 2 tickets.

In a second grade class containing 13 girls and 9 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?

Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using the figure below, how many outcomes are possible if both numbers are even?

There are __________ possible ways that eight pictures can be hung along a wall.

A coin is tossed 5 times. Find the probability that all 5 tosses are tails.

When the outcome of event A does not affect the probability of the outcome of a subsequent event B, then the events are said to be dependent.

If two dice are rolled one time, find the probability of getting a sum less than 5.

There are 2,368 possible ways that a committee of eight people can be selected from a group of 14 people.

A bookcase contains 2 statistics books and 5 biology books. If 2 books are chosen at random, the chance that both are statistics books is

A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?

Evaluate the following: ₇C₃.