Question 1

Find the probability.
-Three fair coins are tossed. Find the probability of getting the same thing on all three coins. 
A) $\frac { 1 } { 8 }$
B) $\frac { 3 } { 8 }$
C) $\frac { 1 } { 4 }$
D) $\frac { 1 } { 2 }$

Accepted Answer

There are 2 outcomes (all heads or all tails) that result in the same thing on all three coins out of a total of $2^3 = 8$ possible outcomes, so the probability is $\frac{2}{8} = \frac{1}{4}$.

Question 2

Give the probability that the spinner shown would land on the indicated color.
-black

A) $\frac { 1 } { 2 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 2 } { 5 }$

Accepted Answer

A

Question 3

Give the probability that the spinner shown would land on the indicated color.
-black

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

Accepted Answer

B

Question 4

Find the probability.
-Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ by more than 2? 
A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 11 } { 36 }$
D) $\frac { 13 } { 36 }$

Accepted Answer

The answer of Find the probability.
-Two 6-sided dice are rolled....

Question 5

Give the probability that the spinner shown would land on the indicated color.
-grey

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

Accepted Answer

The answer of Give the probability that the spinner shown...

Question 6

Find the probability.
-Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4? 
A) 3
B) $\frac { 2 } { 3 }$
C) $\frac { 1 } { 12 }$
D) $\frac { 11 } { 12 }$

Accepted Answer

The possible outcomes for rolling two dice that sum to 4 are (1,3), (2,2), and (3,1), which are 3 outcomes out of 36 total possible outcomes (since each die has 6 sides, there are 6x6=36 total outcomes). Therefore, the probability is 3/36, which simplifies to 1/12.

Question 7

Solve the problem.
-
What are the odds against spinning a D on this spinner?
A) $1 : 7$
B) $7 : 1$
C) $6 : 1$
D) $8 : 1$

Accepted Answer

The answer of Solve the problem.
-
What are the odds against...

Question 8

Find the probability.
-Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10? 
A) $\frac { 1 } { 12 }$
B) 3
C) $\frac { 5 } { 18 }$
D) $\frac { 1 } { 18 }$

Accepted Answer

The only sums greater than 10 are 11 and 12. For 11, the combinations are (5,6) and (6,5). For 12, the combination is (6,6). That's 3 successful outcomes out of 36 possible outcomes (since each die has 6 sides, and there are 2 dice, there are 6*6 = 36 total outcomes), giving a probability of $\frac{3}{36} = \frac{1}{12}$.

Question 9

Find the probability.
-A bag contains 19 balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number? 
A) $\frac { 9 } { 19 }$
B) $\frac { 2 } { 19 }$
C) 9
D) $\frac { 19 } { 9 }$

Accepted Answer

There are 19 balls in total, with numbers from 1 to 19. Among these, the even numbers are 2, 4, 6, 8, 10, 12, 14, 16, and 18, making a total of 9 even-numbered balls. Therefore, the probability of selecting an even-numbered ball is $\frac{9}{19}$.

Question 10

Find the probability.
-A class consists of 24 women and 58 men. If a student is randomly selected, what is the probability that the student is a woman? 
A) $\frac { 12 } { 29 }$
B) $\frac { 29 } { 41 }$
C) $\frac { 1 } { 82 }$
D) $\frac { 12 } { 41 }$

Accepted Answer

The probability of selecting a woman is the number of women divided by the total number of students: 24/82 = 12/41.

Question 11

Solve the problem.
- What are the odds in favor of drawing a 1 from these cards?
A)4:1
B)5:1
C)1:5
D)1:4

Accepted Answer

The answer of Solve the problem.
- What are the odds...

Question 12

Find the probability.
-Three fair coins are tossed. Find the probability of getting exactly two tails. 
A) $\frac { 5 } { 8 }$
B) $\frac { 3 } { 8 }$
C) $\frac { 1 } { 2 }$
D) $\frac { 1 } { 4 }$

Accepted Answer

The total number of outcomes when tossing three coins is $2^3 = 8$. The outcomes where exactly two tails appear are TTH, THT, and HTT, which are 3 out of the 8 possible outcomes. Therefore, the probability is $\frac{3}{8}$.

Question 13

Solve the problem.
-
What are the odds in favor of spinning an A on this spinner?
A) $2 : 6$
B) $3 : 5$
C) $6 : 2$
D) $4 : 2$

Accepted Answer

The answer of Solve the problem.
-
What are the odds in...

Question 14

Solve the problem.
- What are the odds in favor of drawing an even number from these cards?
A)2:5
B)3:2
C)2:3
D)5:2

Accepted Answer

The answer of Solve the problem.
- What are the odds...

Question 15

Find the probability.
-A bag contains 5 red marbles, 2 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue? 
A) $\frac { 1 } { 4 }$
B) $\frac { 4 } { 3 }$
C) 6
D) $\frac { 3 } { 4 }$

Accepted Answer

The total number of marbles is 5 + 2 + 1 = 8. The number of marbles that are not blue is 5 (red) + 1 (green) = 6. Therefore, the probability of not selecting a blue marble is $\frac{6}{8} = \frac{3}{4}$.

Question 16

Find the probability.
-A bag contains 7 red marbles, 2 blue marbles, and 3 green marbles. What is the probability that a randomly selected marble is blue? 
A) $\frac { 2 } { 9 }$
B) $\frac { 7 } { 12 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 1 } { 4 }$

Accepted Answer

The total number of marbles is 7 + 2 + 3 = 12. Since there are 2 blue marbles, the probability of selecting a blue marble is $\frac{2}{12} = \frac{1}{6}$.

Question 17

Give the probability that the spinner shown would land on the indicated color.
-black

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

Accepted Answer

The answer of Give the probability that the spinner shown...

Question 18

Find the probability.
-If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth. 
A) $\frac { 1 } { 365 }$
B) $\frac { 1 } { 12 }$
C) $\frac { 31 } { 365 }$
D) $\frac { 1 } { 31 }$

Accepted Answer

There are 31 days in May and 365 days in a year. The probability of a birthday falling in May is the number of days in May divided by the total number of days in a year, which is $\frac{31}{365}$.

Question 19

Solve the problem.
-What are t  he odds against drawing a number greater than 2 from these cards?
A)2:5
B)3:2
C)2:3
D)5:2

Accepted Answer

The answer of Solve the problem.
-What are t  he...

Question 20

Solve the problem.
-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 an odd number?
A)3:2
B)2:1
C)1:2
D)1:1

Accepted Answer

The cube has 6 sides, with 3 of them being odd (1, 3, 5) and 3 of them being even (2, 4, 6). Therefore, the odds in favor of rolling an odd number are 3 to 3, which simplifies to 1:1.

Quiz 11: Probability

Find the probability. -Three fair coins are tossed. Find the probability of getting the same thing on all three coins.

Give the probability that the spinner shown would land on the indicated color. -black $Give the probability that the spinner shown would land on the indicated color. -black A) \frac { 1 } { 2 } B) \frac { 2 } { 3 } C) \frac { 1 } { 3 } D) \frac { 2 } { 5 }$

Give the probability that the spinner shown would land on the indicated color. -black $Give the probability that the spinner shown would land on the indicated color. -black A) \frac { 1 } { 3 } B) \frac { 1 } { 4 } C) \frac { 2 } { 3 } D) \frac { 1 } { 2 }$

Find the probability. -Two 6-sided dice are rolled. What is the probability that the two numbers obtained differ by more than 2?

Give the probability that the spinner shown would land on the indicated color. -grey $Give the probability that the spinner shown would land on the indicated color. -grey A) \frac { 1 } { 2 } B) \frac { 1 } { 3 } C) \frac { 3 } { 4 } D) 3$

Find the probability. -Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 4?

Solve the problem. - What are the odds against spinning a D on this spinner?

Find the probability. -Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10?

Find the probability. -A bag contains 19 balls numbered 1 through 19. What is the probability that a randomly selected ball has an even number?

Find the probability. -A class consists of 24 women and 58 men. If a student is randomly selected, what is the probability that the student is a woman?

Solve the problem. - What are the odds in favor of drawing a 1 from these cards?

Find the probability. -Three fair coins are tossed. Find the probability of getting exactly two tails.

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

Solve the problem. - What are the odds in favor of drawing an even number from these cards?

Find the probability. -A bag contains 5 red marbles, 2 blue marbles, and 1 green marble. What is the probability that a randomly selected marble is not blue?

Find the probability. -A bag contains 7 red marbles, 2 blue marbles, and 3 green marbles. What is the probability that a randomly selected marble is blue?

Give the probability that the spinner shown would land on the indicated color. -black $Give the probability that the spinner shown would land on the indicated color. -black A) \frac { 1 } { 3 } B) \frac { 1 } { 2 } C) \frac { 2 } { 3 } D) \frac { 1 } { 6 }$

Find the probability. -If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years. Assume that all days of the year are equally likely for a given birth.

Solve the problem. -What are t he odds against drawing a number greater than 2 from these cards?

Solve the problem. -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 an odd number?