Question 1

Find the probability.
-  What are the odds in favor of spinning an A on this spinner?

Accepted Answer

A)  6:2 
B)  4:2 
C)  2:6 
D)  3:5 
A)  6:2 
B)  4:2 
C)  2:6 
D)  3:5

Question 2

Solve the problem.
-One card is selected from a deck of cards. Find the probability of selecting a diamond or a card Less than 10. (Note: The ace is considered a low card.)

Accepted Answer

A)  $\frac { 10 } { 13 }$ 
B)  $\frac { 11 } { 13 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 37 } { 52 }$ 
A)  $\frac { 10 } { 13 }$ 
B)  $\frac { 11 } { 13 }$ 
C)  $\frac { 3 } { 4 }$ 
D)  $\frac { 37 } { 52 }$

Question 3

Find the probability.
-A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace Or a 9?

Accepted Answer

A)  $\frac { 5 } { 13 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 2 }$ 
D)  10 
A)  $\frac { 5 } { 13 }$ 
B)  $\frac { 2 } { 13 }$ 
C)  $\frac { 13 } { 2 }$ 
D)  10

Question 4

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low.
-Royal flush (5 highest cards of a single suit)

Accepted Answer

A)  $\frac { 1 } { 2598960 }$ 
B)  $\frac { 2 } { 162435 }$ 
C)  $\frac { 1 } { 649740 }$ 
D)  $\frac { 1 } { 64974 }$ 
A)  $\frac { 1 } { 2598960 }$ 
B)  $\frac { 2 } { 162435 }$ 
C)  $\frac { 1 } { 649740 }$ 
D)  $\frac { 1 } { 64974 }$

Question 5

Find the probability.
-A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of Choosing a marble that is not blue?

Accepted Answer

A)  9 
B)  $\frac { 9 } { 11 }$ 
C)  $\frac { 2 } { 11 }$ 
D)  $\frac { 11 } { 9 }$ 
A)  9 
B)  $\frac { 9 } { 11 }$ 
C)  $\frac { 2 } { 11 }$ 
D)  $\frac { 11 } { 9 }$

Question 6

Evaluate the expression.
-$\frac { { } _ { 8 } C _ { 8 } } { { } _ { 8 } \mathrm { P } _ { 0 } }$

Accepted Answer

A)  8 
B)  40,320 
C)  1 
D)  $\frac { 1 } { 8 }$ 
A)  8 
B)  40,320 
C)  1 
D)  $\frac { 1 } { 8 }$

Question 7

Solve the problem.
-A single die is rolled one time. Find the probability of rolling a number greater than 1 or less than 4.

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  1 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  1

Question 8

Solve the problem.
-There are 3 balls in a hat; one with the number 1 on it, one with the number 2 on it, and one with The number 5 on it. You pick a ball from the hat at random and then you roll a die. Using a tree Diagram , obtain the sample space for the experiment. Then, find the probability that the number On the ball is the same as the number on the die.

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 3 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 2 }$

Question 9

Use the table to find the probability.
-The table shows the number of college students who prefer a given pizza topping. $$\begin{array}{l}
\begin{array} { r | r r r r } 
\text { toppings }&\text {freshman}&\text { sophomore }&\text {junior }&\text { senior }\
\hline \text { cheese } & 10 & 16 & 27 & 25 \
\text { meat } & 19 & 25 & 16 & 10 \ 
\text { veggie } & 16 & 10 & 19 & 25
\end{array}
\end{array}$$ Determine the probability a student prefers veggie toppings given that student is junior or senior. Round to the nearest thousandth.

Accepted Answer

A)  0.306 
B)  0.629 
C)  0.202 
D)  0.361 
A)  0.306 
B)  0.629 
C)  0.202 
D)  0.361

Question 10

Estimate the indicated probability.
-A survey was done at a mall in which 2000 customers were asked what type of credit card they Used most often. The results of the survey are shown in the figure below:  
Determine the empirical probability that a person selected at random from the 2000 surveyed uses No card. Round to the nearest ten-thousandth when necessary.

Accepted Answer

A)  0.05 
B)  0.0005 
C)  0.005 
D)  0.025 
A)  0.05 
B)  0.0005 
C)  0.005 
D)  0.025

Question 11

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.
-The second marble is blue given the first marble is red.

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 2 } { 7 }$ 
A)  $\frac { 1 } { 7 }$ 
B)  $\frac { 1 } { 4 }$ 
C)  $\frac { 1 } { 8 }$ 
D)  $\frac { 2 } { 7 }$

Question 12

Find the probability.
-Determine the probability that the spinner lands on grey.

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $\frac { 1 } { 6 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 3 }$

Question 13

Solve the problem.
-The odds in favor of a horse winning a race are posted as 8 : 7. Find the probability that the horse Will lose the race.

Accepted Answer

A)  $ \frac{7}{8} $ 
B)  $ \frac{8}{15} $ 
C)  $ \frac{7}{15} $ 
D)  $ \frac{7}{17} $ 
A)  $ \frac{7}{8} $ 
B)  $ \frac{8}{15} $ 
C)  $ \frac{7}{15} $ 
D)  $ \frac{7}{17} $

Question 14

Find the probability.
-A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the Cube showing a number less than 3?

Accepted Answer

A)  1:2 
B)  2:1 
C)  1:1 
D)  1:3 
A)  1:2 
B)  2:1 
C)  1:1 
D)  1:3

Question 15

Solve the problem.
-If three cards are drawn without replacement from a deck, find the probability that the third card Is a face card, given that the first card was a queen and the second card was a 5.

Accepted Answer

A)  $\frac { 6 } { 25 }$ 
B)  $\frac { 3 } { 13 }$ 
C)  $\frac { 11 } { 50 }$ 
D)  $\frac { 1 } { 5 }$ 
A)  $\frac { 6 } { 25 }$ 
B)  $\frac { 3 } { 13 }$ 
C)  $\frac { 11 } { 50 }$ 
D)  $\frac { 1 } { 5 }$

Question 16

Find the probability. Round to the nearest ten-thousandth when necessary.
-A fair coin is tossed 5 times. What is the probability of no heads?

Accepted Answer

A)  0.0625 
B)  0.9688 
C)  0 
D)  0.0313 
A)  0.0625 
B)  0.9688 
C)  0 
D)  0.0313

Question 17

Use the table to find the probability.
-The following table indicates the preference for different types of soft drinks by three age groups. $\begin{array}{r|rrr} 
& \text { cola } & \text { root beer } & \text { lemon-lime } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$

If a person is selected at random, find the probability that the person is over 40 years of age given that they drink root beer.

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 6 } { 17 }$ 
C)  $\frac { 5 } { 17 }$ 
D)  None of the above is correct. 
A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 6 } { 17 }$ 
C)  $\frac { 5 } { 17 }$ 
D)  None of the above is correct.

Question 18

Evaluate the expression.
-$\frac { { } _ { 7 } ^ { \mathrm { P } _ { 4 } } } { { } _ { 10 } \mathrm { C } _ { 4 } }$

Accepted Answer

A)  4 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  2880 
A)  4 
B)  $\frac { 1 } { 6 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  2880

Question 19

Find the probability.
-Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed Well. Two are drawn. What are the odds in favor of the sum of the numbers on the two selected Slips is not 6?

Accepted Answer

A)  9 to 1 
B) 21 to 2 
C) 19 to 2 
D) 19 to 1 
A)  9 to 1 
B) 21 to 2 
C) 19 to 2 
D) 19 to 1

Question 20

Estimate the indicated probability.
-The Amboy Kennel Club has held an annual dog show for the last 12 years. During this time the Winner of ʺBest of Showʺ has been an Alaskan Malamute 6 times, a Great Pyrenees 3 times, and an Siberian Husky 3 times. Determine the empirical probability that the next winner of ʺBest of Showʺ Will be an Alaskan Malamute.

Accepted Answer

A)  1 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$ 
A)  1 
B)  $\frac { 5 } { 8 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 1 } { 4 }$

Find the probability. - What are the odds in favor of spinning an A on this spinner?

Solve the problem. -One card is selected from a deck of cards. Find the probability of selecting a diamond or a card Less than 10. (Note: The ace is considered a low card.)

Find the probability. -A card is drawn from a well-shuffled deck of 52 cards. What is the probability of drawing an ace Or a 9?

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. -Royal flush (5 highest cards of a single suit)

Find the probability. -A bag contains 8 red marbles, 2 blue marbles, and 1 green marble. What is the probability of Choosing a marble that is not blue?

Evaluate the expression. - $\frac { { } _ { 8 } C _ { 8 } } { { } _ { 8 } \mathrm { P } _ { 0 } }$

Solve the problem. -A single die is rolled one time. Find the probability of rolling a number greater than 1 or less than 4.

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability. -The second marble is blue given the first marble is red.

Find the probability. -Determine the probability that the spinner lands on grey.

Solve the problem. -The odds in favor of a horse winning a race are posted as 8 : 7. Find the probability that the horse Will lose the race.

Find the probability. -A number cube labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed. What are the odds in favor of the Cube showing a number less than 3?

Solve the problem. -If three cards are drawn without replacement from a deck, find the probability that the third card Is a face card, given that the first card was a queen and the second card was a 5.

Find the probability. Round to the nearest ten-thousandth when necessary. -A fair coin is tossed 5 times. What is the probability of no heads?

Evaluate the expression. - $\frac { { } _ { 7 } ^ { \mathrm { P } _ { 4 } } } { { } _ { 10 } \mathrm { C } _ { 4 } }$

Find the probability. -Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed Well. Two are drawn. What are the odds in favor of the sum of the numbers on the two selected Slips is not 6?

Critical Thinking Skills

Sets

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Voting and Apportionment

Filters

Exam 11: Probability