Probability Independent and Dependent Events

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

• 6/13

• 2/7

• 5/16

• 3/19

Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles. Find the probability of selecting one green marble from bag A and one black marble from bag B.

• 3/20

• 1/4

• 3/31

• 2/27

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

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14

• 1/2

• 0

• 1/7

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 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 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

In a standard deck of 52 cards, what is the probability of drawing one ace after another ace on two draws (no replacing)?

• 1/221

• 1/4

• 1/169

• 1/13

Given a standard deck of 52 playing cards, what is the probability of randomly drawing a 2 and then a 3 if the first card is not replaced?

• 1/13

• 4/663

• 1/676

• 1/169

Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?

• Yes

• No