Compound Probability Replacement

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

• The probability is 3/11

• The probability is 1/11

• The probability is 3/132

• The probability is 3/12

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

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.

• 4/121

• 8/121

• 3/121

• 6/121

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

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

A piggy bank contains 15 pennies, 5 nickels, 18 dimes, and 12 quarters.

A coin is chosen at random, replaced, then another is chosen.

Find the probability that both coins chosen are worth at least 5 cents.

P(both coins worth at least 5¢) =

Mathematical Equivalence

ON

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

What is the probability of randomly selecting a striped marble, REPLACE IT, and then selecting a solid marble?

P (striped, solid)

• 2/5

• 6/25

• 3/5

• 11/50

What is the probability of randomly selecting a striped marble, REPLACE IT, and then selecting a solid marble?

• 2/5

• 6/25

• 3/5

• 11/50

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble? (leave answer in fraction form in lowest terms)

• 9/49

• 16/49

• 12/42

• 12/49