Independent and Dependent Probability

Probability Independent and Dependent Events

Multiple Choice

You roll a number cube twice. The first time is a 3 and the second time is an even number.

• Independent

• Dependent

Multiple Choice

You randomly draw a marble from a bag of marbles. You get a red and don't put it back into the bag. You draw another marble out of the bag and get a yellow.

• Independent

• Dependent

Multiple Choice

Kathy draws a 4 from a set of cards numbered 1 - 10, and rolls a 2 on a number cube.

• Independent

• Dependent

Multiple Choice

Yuki chooses a book from the shelf to read, then Janette chooses a book from the books that remain.

• Independent

• Dependent

Independent Events

• To find the probability that two independent events will happen - MULTIPLY the probabilities of the two events.

Find the probability of choosing a green marble at random from a bag containing 5 green and 10 white marbles and then flipping a coin and getting tails.

Dependent Events

You must determine the effect that the first event has on the probability of the second event.

A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Juan will randomly choose a historical book for his first report and a science-fiction book for his second?

Multiple Choice

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

• 1/14

• 1/2

• 0

• 1/7

Multiple Choice

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3

• 1/2

• 1/6

• 1/4

Multiple Choice

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9

• 1/27

• 1/6

• 2/9

Multiple Choice

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2

• 1/36

• 1/6

• 1/66

Multiple Choice

There are 15 boys in a class with 14 girls. Find the probability of selecting a girl then a boy

• 15/58

• 18/33

• 2/29

• 1/29

Multiple Choice

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

Multiple Choice

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20

• 1/4

• 3/31

• 2/27

Multiple Choice

What is the probability of randomly selecting a striped marble, replacing it, and then selecting a solid marble?

• 2/5

• 6/25

• 3/5

• 11/50