Probability of Compound Events

What is the probability of rolling a 3 on a fair six-sided die and flipping a head on a fair coin?

• 1/4

• 1/6

• 1/3

• 1/12

If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of both events A and B occurring?

• 0.7

• 0.25

• 0.12

• 0.1

A bag contains 5 red balls and 3 green balls. If a ball is randomly selected, what is the probability of getting a red ball and then a green ball without replacement?

• 2/7

• 15/56

• 3/8

• 5/8

If the probability of event A is 0.6 and the probability of event B is 0.5, what is the probability of either event A or event B occurring?

• 1.1

• 0.8

• 0.3

• 0.9

In a deck of 52 cards, what is the probability of drawing a heart and then drawing a spade without replacement?

• 1/4

• 13/204

• 3/104

• 5/208

If the probability of event A is 0.7 and the probability of event B is 0.4, what is the probability of event A occurring but not event B?

• 0.3

• 0.7

• 0.4

• 0.1

A box contains 4 blue marbles, 5 red marbles, and 3 green marbles. If two marbles are drawn without replacement, what is the probability of getting a blue marble and then a red marble?

• 3/33

• 5/33

• 4/33

• 2/33

If the probability of event A is 0.8 and the probability of event B is 0.2, what is the probability of event A not occurring?

• 0.5

• 0.8

• 0.2

• 1.0

A jar contains 10 black balls and 6 white balls. If two balls are drawn with replacement, what is the probability of getting a black ball and then a white ball?

• 0.234375

• 0.416666

• 0.125

• 0.3125

If the probability of event A is 0.9 and the probability of event B is 0.3, what is the probability of both event A and event B not occurring?

• 0.12

• 0.1

• 0.27

• 0.6