Solving Independent Events

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

When randomly drawing from a standard deck of 52 playing cards, what is the probability of drawing a 9 four times in a row if the cards are not replaced?

• 1/5,525

• 1/270,725

• 1/28,561

• 1/4

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

Determine if the following events are dependent or independent.
Anna flips a coin two times.

• Independent

• Dependent

The outcome of one event does not affect the outcome of the other event.

• independent event

• dependent event

Clara picks a marble at random, puts it back, and then picks another marble at random.

• independent

• dependent

• 1/36

• 1/18

• 1/18

• 25/36