Compound Probability with or without 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 basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 9/182

• 5/182

• 2/91

• 10/91

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

• A

• B

• C

• D

P(two green cards)
DO NOT replace

• 1/29

• 11/30

• 1/25

• 1/5

Find the probability of picking a yellow, and then not a yellow, if you pick two marbles without replacing the first.

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 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

Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.