AnswersCommon Core Math 7 - MA3107 CRCompound Events and Sample Space

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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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
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

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
5

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
6

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
7

Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?

A
StartFraction 1 over 30 EndFraction
Option A
B
StartFraction 9 over 125 EndFraction
Option B
C
StartFraction 12 over 125 EndFraction
Option C
D
StartFraction 1 over 10 EndFraction
Option D
8

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
9

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
10

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

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