Question 1

Three cards are drawn from a deck without replacement. Find the probability that
(a)all are aces
(b)all are hearts
(c)all are black cards

Accepted Answer

(a)0.00018

Question 2

A package contains 14 candy canes, 8 of which are cracked. If 3 are selected, find the probability of
Getting no cracked candy canes.

Accepted Answer

A) 0.3568 
B) 0.0549 
C) 0.1654 
D) 0.2586 
A) 0.3568 
B) 0.0549 
C) 0.1654 
D) 0.2586

Question 3

If a 40-year-old buys a $1500 life insurance policy at a cost of $50 and has a probability of 0.992 of
living to age 41, find the expectation of the policy until the person reaches 41.

Accepted Answer

The answer of If a 40-year-old buys a $1500 life...

Question 4

When two dice are tossed, find the odds in favor of getting a sum of 7.

Accepted Answer

The answer of When two dice are tossed, find the...

Question 5

Find the probability of selecting 4 math books and 5 history books from a stack that contains 5 math
books and 9 history books if the books are selected at random.

Accepted Answer

The answer of Find the probability of selecting 4 math...

Question 6

Evaluate the expression.

Accepted Answer

A) 56 
B) 2 
C) 1 
D) 840 
A) 56 
B) 2 
C) 1 
D) 840

Question 7

How many different three letter permutations can be formed from the letters in the word clipboard?

Accepted Answer

A) 336 
B) 544,320 
C) 729 
D) 504 
A) 336 
B) 544,320 
C) 729 
D) 504

Question 8

A multiple-choice quiz consists of six questions. Each question has five responses, and only one of
The answers is correct. Find the probability of guessing and getting exactly four correct. Round to
Four decimal places, if necessary.

Accepted Answer

A) 0.0041 
B) 0.3686 
C) 0.0123 
D) 0.0154 
A) 0.0041 
B) 0.3686 
C) 0.0123 
D) 0.0154

Question 9

A box contains ten $1 bills, five $5 bills, seven $10 bills, and four $20 bills. What is the
Expectation if one bill is selected?

Accepted Answer

A) $7.12 
B) $6.12 
C) $9.12 
D) $8.12 
A) $7.12 
B) $6.12 
C) $9.12 
D) $8.12

Question 10

Which of the numbers that follow could represent a probability?
I. 50% II. 35%

Accepted Answer

A) only I 
B) neither 
C) only II 
D) both I and II 
A) only I 
B) neither 
C) only II 
D) both I and II

Question 11

On a survey at a particular university, 74% of the students indicated that they have misplaced their
Student Identification Card at least once in the past year. If 8 students are in a campus computer lab,
What is the probability that 1 or 2 of them have misplaced their Student Identification Card in the
Past year? Round to four decimal places, if necessary.

Accepted Answer

A) 0.8104 
B) 0.0099 
C) 0.0114 
D) 0.0052 
A) 0.8104 
B) 0.0099 
C) 0.0114 
D) 0.0052

Question 12

If you add the probabilities for every outcome in the sample space, the result is always .

Accepted Answer

The answer of If you add the probabilities for every...

Question 13

If a die is rolled one time, find the probability of getting a number less than 4 or an even number.

Accepted Answer

A) 1/6 
B) 1 
C) 5/6 
D) 0 
A) 1/6 
B) 1 
C) 5/6 
D) 0

Question 14

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a 7.

Accepted Answer

A) 1/13 
B) 1/52 
C) 1/26 
D) 1/4 
A) 1/13 
B) 1/52 
C) 1/26 
D) 1/4

Question 15

A teacher has 20 boys and 10 girls in her class. In how many ways can she select 6 of the children
To be in a play if she must select 3 boys and 3 girls.

Accepted Answer

A) 136,810 
B) 136,820 
C) 136,790 
D) 136,800 
A) 136,810 
B) 136,820 
C) 136,790 
D) 136,800

Question 16

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16
-30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I28.

Accepted Answer

A) 0 
B)    
C)    
D)    
A) 0 
B)    
C)    
D)

Question 17

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a black card.

Accepted Answer

The answer of A single card is drawn from an...

Question 18

Decide if the events are mutually exclusive.
Roll a die: Get a number greater than 3, or get a number less than 3.

Accepted Answer

A) Mutually exclusive 
B) Not mutually exclusive 
A) Mutually exclusive 
B) Not mutually exclusive

Question 19

When a single card is drawn from a shuffled deck of cards, find the odds against getting a 6.

Accepted Answer

A) 1:12 
B) 12:1 
C) 1:51 
D) 51:1 
A) 1:12 
B) 12:1 
C) 1:51 
D) 51:1

Question 20

Three coins are tossed. Find the probability that no more than one coin lands heads up.

Accepted Answer

A) 5/8 
B) 1/4 
C) 3/8 
D) 1/2 
A) 5/8 
B) 1/4 
C) 3/8 
D) 1/2

Three cards are drawn from a deck without replacement. Find the probability that (a)all are aces (b)all are hearts (c)all are black cards

A package contains 14 candy canes, 8 of which are cracked. If 3 are selected, find the probability of Getting no cracked candy canes.

If a 40-year-old buys a $1500 life insurance policy at a cost of $50 and has a probability of 0.992 of living to age 41, find the expectation of the policy until the person reaches 41.

When two dice are tossed, find the odds in favor of getting a sum of 7.

Find the probability of selecting 4 math books and 5 history books from a stack that contains 5 math books and 9 history books if the books are selected at random.

Evaluate the expression.

How many different three letter permutations can be formed from the letters in the word clipboard?

A multiple-choice quiz consists of six questions. Each question has five responses, and only one of The answers is correct. Find the probability of guessing and getting exactly four correct. Round to Four decimal places, if necessary.

A box contains ten $1 bills, five $5 bills, seven $10 bills, and four $20 bills. What is the Expectation if one bill is selected?

Which of the numbers that follow could represent a probability? I. 50% II. 35%

If you add the probabilities for every outcome in the sample space, the result is always .

If a die is rolled one time, find the probability of getting a number less than 4 or an even number.

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a 7.

A teacher has 20 boys and 10 girls in her class. In how many ways can she select 6 of the children To be in a play if she must select 3 boys and 3 girls.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I28.

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a black card.

Decide if the events are mutually exclusive. Roll a die: Get a number greater than 3, or get a number less than 3.

When a single card is drawn from a shuffled deck of cards, find the odds against getting a 6.

Three coins are tossed. Find the probability that no more than one coin lands heads up.

Problem Solving

Sets

Logic

Numeration Systems

The Real Number System

Topics in Algebra

Consumer Mathematics

Measurement

Geometry

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Exam 10: Probability and Counting Techniques

Three cards are drawn from a deck without replacement. Find the probability that (a)all are aces (b)all are hearts (c)all are black cards

A package contains 14 candy canes, 8 of which are cracked. If 3 are selected, find the probability of Getting no cracked candy canes.

If a 40-year-old buys a $1500 life insurance policy at a cost of $50 and has a probability of 0.992 of living to age 41, find the expectation of the policy until the person reaches 41.

When two dice are tossed, find the odds in favor of getting a sum of 7.

Find the probability of selecting 4 math books and 5 history books from a stack that contains 5 math books and 9 history books if the books are selected at random.

Evaluate the expression.

How many different three letter permutations can be formed from the letters in the word clipboard?

A multiple-choice quiz consists of six questions. Each question has five responses, and only one of The answers is correct. Find the probability of guessing and getting exactly four correct. Round to Four decimal places, if necessary.

A box contains ten $1 bills, five $5 bills, seven $10 bills, and four $20 bills. What is the Expectation if one bill is selected?

Which of the numbers that follow could represent a probability? I. 50% II. 35%

If you add the probabilities for every outcome in the sample space, the result is always .

If a die is rolled one time, find the probability of getting a number less than 4 or an even number.

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a 7.

A teacher has 20 boys and 10 girls in her class. In how many ways can she select 6 of the children To be in a play if she must select 3 boys and 3 girls.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing I28.

A single card is drawn from an ordinary 52-card deck. Find the probability of getting a black card.

Decide if the events are mutually exclusive. Roll a die: Get a number greater than 3, or get a number less than 3.

When a single card is drawn from a shuffled deck of cards, find the odds against getting a 6.

Three coins are tossed. Find the probability that no more than one coin lands heads up.

Problem Solving

Sets

Logic

Numeration Systems

The Real Number System

Topics in Algebra

Consumer Mathematics

Measurement

Geometry

Statistics

Voting Methods

Graph Theory

Available Online: Other Mathematical Systems

Filters