Probability of Compound Events Answers

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A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than ? Select three options.

Question illustration
A
choosing 1 blue marble
B
choosing 1 red marble
C
choosing 1 red marble, not replacing it, and then choosing a blue marble
D
choosing 1 white marble, replacing it, and choosing another white marble
E
choosing 1 white marble
2
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The table below shows all of the possible outcomes for rolling two six-sided number cubes.How many possible outcomes are there?

Question illustration
A
6
B
12
C
21
D
36
3

A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble?

A
StartFraction 1 over 16 EndFraction
Option A
B
StartFraction 1 over 12 EndFraction
Option B
C
One-fourth
Option C
D
One-half
Option D
4

Of the 30 students in the sixth period math class, 8 are also in the same fourth period science class. Which can be used to determine the probability that if three students are chosen at random from the math class to do a group project, the first student chosen to be in the group is in the fourth period science class but the other two are not?

A
(StartFraction 8 over 30 EndFraction) (StartFraction 22 over 29 EndFraction) (StartFraction 21 over 28 EndFraction)
Option A
B
(StartFraction 8 over 30 EndFraction) (StartFraction 8 over 30 EndFraction) (StartFraction 8 over 30 EndFraction)
Option B
C
(StartFraction 8 over 30 EndFraction) (StartFraction 7 over 29 EndFraction) (StartFraction 6 over 28 EndFraction)
Option C
D
(StartFraction 8 over 30 EndFraction) (StartFraction 22 over 30 EndFraction) (StartFraction 21 over 30 EndFraction)
Option D
5

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probability of pulling out a white sock, not replacing it, and pulling out another white sock?

A
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option A
B
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option B
C
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option C
D
The probability that the first sock is white is and that the second sock is white is , so the probability of choosing a pair of white socks is .
Option D
6

Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?

A
13
B
14
C
17
D
18
7

To win the game, Elena has to roll an even number first and a number less than 3 second. Her probability of winning is .Marta has a lower probability of winning than Elena has. Which could be the outcome that Marta needs to win the game? Select three options.

Question illustration
A
rolling a sum of 7
B
rolling a sum of 6
C
rolling a sum of 2 or a sum of 9
D
rolling a sum that is greater than 9
E
rolling a sum that is greater than 2 but less than 5
8

Jason bought 10 of the 30 raffle tickets for a drawing. Assuming that he chooses the winning ticket each time, what is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize, the ticket is thrown away?

A
StartFraction 6 over 203 EndFraction
Option A
B
StartFraction 1 over 27 EndFraction
Option B
C
StartFraction 3 over 29 EndFraction
Option C
D
StartFraction 1 over 9 EndFraction
Option D
9

Raj has a full deck of 52 cards. Sydney chooses the queen of clubs and holds onto it. Then Yolanda chooses a card. What is the total number of possible outcomes for Yolanda’s card?

A
36
B
48
C
51
D
52
10

Jason rolls a fair number cube labeled 1 through 6, and then he flips a coin. What is the probability that he rolls a 3 and flips a head?

A
StartFraction 1 over 18 EndFraction
Option A
B
StartFraction 1 over 12 EndFraction
Option B
C
StartFraction 1 over 8 EndFraction
Option C
D
StartFraction 1 over 6 EndFraction
Option D

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