Dependent Compound Probability

In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5
• 1/21
• 4/25
• 1/7

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

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple. 

• 3/5
• 3/4
• 3/20
• 2/5

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

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.

P (penny, then dime).

• 1/8

• 9/100

• 6/65

• 17/195

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.

P ( silver coin, then penny).

• 32/195

• 18/195

• 0

• 1/25

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)

• 1/15
• 2/15
• 3/31
• 1/5

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)

• 1/18
• 2/5
• 3/7
• 4/9

A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Both pieces of fruit are apples. P(apple, apple)

• 2/15
• 3/17
• 1/19
• 6/21