Compound Probability

Draw a red marble, keep it, then draw a blue marble.

• Independent

• Dependent

Flipping a coin then rolling a number cube

• Independent

• Dependent

What is the probability of picking a blue marble?

P(blue)

What is the probability of landing on a number higher than 4 twice in a row?

What is the probability of drawing a blue marble twice with replacement?

The two spinners above are spun. What is the probability of getting a perfect square (1,4,9,16), then the letter Z? 

• 3/20

• 9/20

• 1/8

• 11/40

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3

• 5/36

• 1/9

• 1/36

A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of choosing a multiple of 3 and a month starting with the letter “M”?

• 7/50

• 8/125

• 1/20

• 4/75

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 

• 5/24

• 11/30

• 2/75

• 7/60