Depended Independent Events Theoretical Probability

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

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 non-blue marble on both draws? P(not blue, not blue)

• 9/25

• 4/25

• 3/4

• 1/2

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 on both draws? P(both yellow)

• 1/10

• 9/16

• 1/4

• 1/16

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 non-green marble on both draws? P(not green, not green)

• 9/16

• 1/2

• 9/25

• 169/400

A jar of coins has 8 pennies, 5 nickels, 1 dime, and 7 quarters. Aaron and Adelle do not agree what the probability of drawing a quarter, replacing it, and drawing another quarter is. P(quarter, quarter). Who is correct?

• Aaron says the probability is 1/9

• Adelle says the probability is 1/10

A basket of fruit and vegetables is shown below. Belle and Bryan disagree on what the probability of selecting a vegetable, replacing it, and then selecting a fruit is. P(vegetable, fruit). Who is correct?

• Bryan says the probability is 35/128

• Belle says the probability is 15/64

A drawer of office supplies is shown below. What is the probability of selecting a binder clip, replacing it and then selecting a paper clip?

• 9/50

• 1/2

• 21/100

• 6/25

What is the probability of spinning the spinner three times and having all three spins be greater than 5?

• 5.3%

• 12.5%

• 1.6%

• 4.8%

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

What is the probability of drawing the angel emoji card, replacing it, and drawing the laughing emoji card?

• 1/16

• 1/64

• 9/16

• 1/32