AnswersMath Models AProbability of Compound Events

Probability of Compound Events Answers

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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
2
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The tree diagram below shows all of the outcomes for flipping 3 coins.Which outcome is represented by x?

Question illustration
A
heads on the first coin, heads on the second coin, and tails on the third coin
B
heads on the first coin, tails on the second coin, and tails on the third coin
C
heads on the first coin, heads on the second coin, and heads on the third coin
D
heads on the first coin, tails on the second coin, and heads on the third coin
3

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
4

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
5

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
6

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
7

The tree diagram below shows all of the possible outcomes for flipping three coins.What is the probability that at least two of the coins will be tails?

Question illustration
A
StartFraction 1 over 8 EndFraction
Option A
B
StartFraction 3 over 8 EndFraction
Option B
C
One-half
Option C
D
Three-fourths
Option D
8

The list below shows all of the possible outcomes for flipping four coins.HHHHHHHTHHTHHHTTHTHHHTHTHTTHHTTTTHHHTHHTTHTHTHTTTTHHTTHTTTTHTTTTWhat is the probability of at least two coins landing on heads?

A
StartFraction 5 over 16 EndFraction
Option A
B
StartFraction 3 over 8 EndFraction
Option B
C
One-half
Option C
D
StartFraction 11 over 16 EndFraction
Option D
9

The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.Which outcome is represented by x?

Question illustration
A
rolling a two and the coin landing on tails
B
rolling a three and the coin landing on tails
C
rolling a two and the coin landing on heads
D
rolling a three and the coin landing on heads
10

The tree diagram below shows all of the possible outcomes for flipping three coins.What is the probability of one of the coins landing on tails and two of them landing on heads?

Question illustration
A
One-fourth
Option A
B
StartFraction 3 over 8 EndFraction
Option B
C
One-half
Option C
D
Three-fourths
Option D

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