Independent and Dependent Probability Review

Is the event independent or dependent?

Your pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?

• independent

• dependent

Is the event independent or dependent?

A basket contains 4 green marbles and 8 blue marbles. A marble is drawn without replacement. Then another marble is drawn. What is the probability that both marbles will be green?

• independent

• dependent

Is the event independent or dependent?

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?

• dependent

• independent

Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?

• 1 ⁄ 16

• 1 ⁄ 2

• 1 ⁄ 4

• 1 ⁄ 8

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

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

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

Match each to its probability.

• 12/60

• P(keyboard)

• 40/180

• P(drums or 8th grade)

• 12/40

• P(keyboard | 7th grade)

• 12/180

• P(drums and 8th grade)

• 81/180

• P(7th grade | keyboard)

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 five or greater if the first card is replaced?

• 1/4

• 2/3

• 3/10

• 3/5

Answer using a non-simplified fraction.

P(6th grade | drums)

Mathematical Equivalence

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