AnswersTX-College Prep Math BProbability of Compound Events

Probability of Compound Events Answers

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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
5

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
7

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
8

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

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