Independent and Dependent Events Probability

What is the probability of rolling an even number on the first roll of a number cube and rolling an odd number on the second roll?

• 1/4

• 1

• 1/8

• 1/2

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

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

Find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black. 

• 9/25

• 1/4

• 2/23

• 3/41

A number cube is rolled and a coin is tossed. What is the probability of rolling a number greater than 4 and tossing tails?

• 1/6

• 1/3

• 1/2

• 1/4

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

• 1/4

• 2/3

• 7/20

• 3/5

A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then black)

• 1/18

• 2/5

• 3/7

• 4/9

A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(purple then white)

• 1/18

• 2/9

• 3/7

• 4/9

A jar contains 4 white playing chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. Find P(white then black)

• 2/45

• 2/5

• 3/7

• 4/9

A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?

• Independent

• Dependent