Probability Dependent Events

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

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

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

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

• 9/49

• 1/7

• 3/14

• 6/42

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

• 1/18

• 2/5

• 3/7

• 4/9

Each letter of the word Banana is written on a card. Find each probability if you pick two cards without replacing the first.

• 2/30

• 6/30

• 3/30

• 0

A fruit basket contains 9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Stanley randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he choses two pears?

• ¹/₃₀

• ⁴/₁₂₅

• ¹/₁₀

• ⁹/₄₉

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter, not replacing it, and then picking a penny?

• ²⁰/₁₂₁

• ⁸/₁₂₁

• ²/₁₁

• ⁴/₅₅

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2

• 1/36

• 1/6

• 1/66

Two cards are drawn at random without replacement. Find P(blue, red) and write as a fraction in simplest form.

• 1/3

• 1

• 2/6

• 2/9