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Probability of Compound Events Answers

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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
3

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
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?

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
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?

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
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?

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

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