Probability of Compound Events

Question 1

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?

Revolt · Accepted Answer

(StartFraction 8 over 30 EndFraction) (StartFraction 22 over 29 EndFraction) (StartFraction 21 over 28 EndFraction)

Question 2

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?

Revolt · Accepted Answer

One-half

Question 3

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

Revolt · Accepted Answer

choosing 1 red marble; choosing 1 white marble, replacing it, and choosing another white marble; choosing 1 white marble

Question 4

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

Revolt · Accepted Answer

StartFraction 1 over 45 EndFraction

Question 5

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?

Revolt · Accepted Answer

17

Question 6

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?

Revolt · Accepted Answer

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 .

Question 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.

Revolt · Accepted Answer

rolling a sum of 6; rolling a sum of 2 or a sum of 9; rolling a sum that is greater than 2 but less than 5

Question 8

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?

Revolt · Accepted Answer

StartFraction 1 over 12 EndFraction

Question 9

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?

Revolt · Accepted Answer

StartFraction 3 over 8 EndFraction

Question 10

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?

Revolt · Accepted Answer

rolling a two and the coin landing on tails

Probability of Compound Events Answers

More from this Course

TRY EDGENUITY HACKS