Independent Probability Review

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

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

• 1 ⁄ 6

• 1 ⁄ 8

• 1 ⁄ 2

• 1 ⁄ 12

Lucy has the spinner pictured and spins it twice in a row.

P( red, then yellow or green)

• 6%

• 17%

• 13%

• 75%

Geraldo has a deck of cards (52 cards) and a bag of marbles with 4 red, 6 blue, 3 green, and 2 yellow marbles. What is the probability that he draws a 7 out of the deck of cards (there are 4 #7's in a deck) and then pulls a blue marble out of the bag?

• 3 ⁄ 15

• 2 ⁄ 65

• 7 ⁄ 52

• 14 ⁄ 260

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

• 3

• 1/10

• 3/10

• 30%

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color? P(R,R)

• 2/5

• 1/21

• 5/35

• 1/7

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced? P(V,P)

• 1/3

• 2/9

• 1/6

• 1/4

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

• 1/18

• 2/5

• 3/7

• 4/9

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

There are 2 violet balls and 4 pink balls in a bag. If two balls are drawn one after the other, then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?

• 1/3

• 2/9

• 1/6

• 1/4