Probability: Conditional, Independent and Dependent Events

In rolling a standard die with six sides, what is the probability of not getting a 2 or 5?

• 1/36

• 1/6

• 2/3

• 1/30

The numbers 4-6 are written on cards and placed face down. Then a coin is flipped. List the sample space for selecting a card and then flipping a coin.

• 4H, 4T, 5H, 5T, 6H, 6T

• 4, 5, 6

• H, T

• 4, 5, 6, H, T

Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072

• Dependent

• Independent

• Neither

Suppose the P(A) = .55, P(B) = .30 and P(A and B) = .12, find P(A or B).

• 0.85

• 0.165

• 0.12

• 0.73

A bag of marbles contains 5 red, 8 green and 2 blue marbles. If two marbles are chosen randomly and not put back in the bag, what is the probability that you pick a red marble first and a green marble second?

• 8/45

• 1/21

• 4/21

• 2/45

A bag of marbles contains 5 red, 8 green and 2 blue marbles. If two marbles are chosen randomly and not put back in the bag, what is the probability that you pick two green marbles?

• 56/225

• 4/15

• 64/225

• 32/102

A bag of marbles contains 5 red, 8 green and 2 blue marbles. If two marbles are chosen randomly and put back in the bag, what is the probability that you pick a blue marble and then a green marble?

• 8/105

• 16/225

• 1/15

• 4/225

What is the probability a student passed the test?

• 5/6

• 50

• 1/6

• 0.5

What is the probability that a student is a junior, given they passed the test?

• 3/4

• 1/4

• 17/50

• 3/10

Find P(Sophomore |Pass)

• 17/20

• 17/50

• 9/25

• 3/20