Compound Probability with Replacement

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3

• 2/9

• 1/6

• 1/4

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

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100

• 1/2

• 1/6

• 1/8

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

What is the probability of randomly selecting a striped marble, REPLACE IT, and then selecting a solid marble?

P (striped, solid)

• 2/5

• 6/25

• 3/5

• 11/50

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number, then a card with a number greater than or equal to five if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange?

• 9/16

• 3/4

• 9/144

• 5/16

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

• Independent

• Dependent

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42