Compound Probability

What is the probability of landing on blue twice in a row?

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?

What is the probability of picking a green marble, keeping it, then picking green again?

If you pick a red marble and keep it, how does that change the probability of getting a green marble when you pick a second time?

• No change

• More likely

• Less likely

• Impossible

What is the probability of rolling a 6 then landing on heads?

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

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

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