Probability and Replacement

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 

• 4/121
• 8/121
• 3/121
• 6/121

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 

• 3/5
• 3/4
• 3/20
• 2/5

Three fair coins are flipped at the same time.  What is the probability that all three will be display heads?

• 1/8
• 1/3
• 1/4
• 1/2

Dale has a bag of candy contains 8 grape candies, 5 cherry candies, 3 lemon candies and 6 lime candies.  What is the probability he will select a cherry candy, put it back in the bag and select a grape candy?

• 20/231
• 10/121
• 2/121
• 1/11

Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?

• 1/6
• 7/6
• 4/7
• 1/3

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

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

P(2 then 5) = 

• 1/6
• 1/12
• 1/36

Two coins are tossed at the same time. Identify whether the events are independent or dependent.

• Independent

• Dependent

A bag of marbles contains 20 marbles. The first marble is drawn and not replaced and then a second marble is drawn. Identify whether the events are independent or dependent.

• Independent

• Dependent