Concurrent Probability Without Replacements

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?

• $\frac{1}{17}$
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• $\frac{1}{18}$
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• $\frac{1}{9}$
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• $\frac{1}{36}$
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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 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 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?

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?