Probability Without Replacement

Amelia receives a treat bag. The treat bag contains 10 gumballs, 5 pixie sticks, 2 bracelets, and 3 chocolates. Amelia selects 1 item from her treat bag and then without replacement selects another item. What is the probability she will select a gumball and then a pixie stick?

A jar contains 2 pink, 6 red, and 4 blue marbles. You pick one marble and then without replacement you pick another one. What is the probability that the marble you pick will be red and then blue?

Jenise has 18 pairs of socks in her drawer. 3 pairs are blue, 9 pairs are white, 2 pairs are striped, and 4 pairs are spotted. Jenise will pick a pair of socks and then without replacement pick another pair of socks. What is the probability that Jenise will choose a pair of white socks both times?

An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple if drawn without replacement?

(a)  

John has a mug that contains seven Greek coins and 5 roman coins. A coin is drawn at random and not replaced. Then another coin is randomly drawn. What is the probability that the first coin was Greek and second coin was Roman?

(a)  

An urn contains 6 purple marbles and 4 pink marbles. A marble is drawn at random and not replaced. Then a second marble is drawn. What is the probability that both marbles are purple?

(a)  

An urn contains 5 orange marbles and 6 blue marbles. Two marbles are drawn at random. What is the probability that the first marble is orange and the second marble is blue if the marbles are drawn without replacement?

(a)  

An urn contains 4 red marbles and 7 blue marbles. Two marbles are drawn at random. What is the probability that the first is red and the second is blue if the marbles are drawn without replacement?

(a)  

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a blue, eating it then selecting yellow?

• 2/18

• 1/9

• 2/20

• 1/19

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?

• 5/24

• 11/30

• 2/75

• 7/60