Probability Without Replacement

A box contains 5 green marbles, 4 yellow marbles, and 3 red marbles. If two marbles are drawn without replacement, what is the probability that both marbles are yellow?

• 2/11

• 4/11

• 3/11

• 1/11

A deck of cards contains 3 aces, 4 kings, and 6 queens. If two cards are drawn without replacement, what is the probability that both cards are queens?

• 2/5

• 3/8

• 5/26

• 1/3

A box contains 6 green marbles, 5 yellow marbles, and 2 red marbles. If two marbles are drawn without replacement, what is the probability that both marbles are green?

• 1/3

• 2/7

• 3/8

• 5/26

A bag contains 3 red tiles, 6 green tiles, and 3 blue tiles. A tile will be randomly selected from the bag and then without replacement another tile will be selected. What is the probability that a red tile will be drawn and then a green tile?

A bag contains 3 red marbles, 4 blue marbles, and 5 yellow marbles. You select a marble from the bag and without replacing it select another marble from the bag. What is the probability that you will draw 2 blue marbles?

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime and then a penny?

On Roberto's shelf are 6 mystery books, 5 science books, 4 history books, and 3 adventure books. Roberto will randomly choose 1 book to read and then without replacement will choose another book. What is the probability he will choose an adventure book and then a mystery book?

Gabriel has 2 cans of tomato soup, 3 cans of chicken soup, 2 cans of cheese soup, 2 cans of potato soup, and 1 can of beef soup. Gabriel will randomly choose one can of soup and then without replacement will choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

A bag contains 2 red marbles, 3 green marbles, and one brown marble. A marble is picked at random and then without replacement a second marble is picked. What is the probability that the first marble is green and the second marble is red?

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, and 5 strawberry. A piece of candy will be picked and then without replacement a second piece of candy will be picked. What is the probability of drawing a lemon candy and then a strawberry candy?