Independent Probabilities

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

A bag contains 8 blue marbles, 7 green marbles, and 5 yellow marbles. Suppose you drew one marble from the bag above, replaced it and then drew a second marble. What is the probability of picking a yellow marble, and then blue? P(yellow, blue)

• 9/20

• 3/20

• 1/10

• 13/20

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

What is the probability of tossing a coin four times and getting tails each time?

• 1/16

• 1/8

• 1/2

• 1/4

What is the probability that Tom will get a lollipop, replace it, then draw a gumball? The treat bag containing 6 lollipops and 4 gum balls

• 1/24

• 1/90

• 6/25

• 1/10

What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12

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

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. What is the probability that both times the coin is a nickel?

• 6/13

• 2/7

• 5/16

• 3/19

• 36/169

Determine whether each scenario below represents an independent event or dependent event. Flipping a coin and spinning a spinner.

• Dependent

• Flipping a coin and spinning a spinner

• Independent

• Drawing an Ace from a deck of cards, replacing it, then drawing a King

• Independent

• Drawing a Queen from a deck of cards, then drawing a 10

• Independent

• Rolling a fair six-sided die and getting an A on your next test

• Dependent

• Selecting a marble from a bad, not replacing it, and selecting another marble from the bag

Determine if each event represents dependent or independent probability.

• independent

• dependent