Probability of Compound Events Answers

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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
2
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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
3

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
4

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
5

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
6

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
7

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
8

The table below shows all of the possible outcomes for rolling two six-sided number cubes.What is the probability of rolling an even number first and an odd number second?

Question illustration
A
StartFraction 1 over 9 EndFraction
Option A
B
StartFraction 1 over 6 EndFraction
Option B
C
One-fourth
Option C
D
One-half
Option D
9

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
10

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

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