Compound Probability - Dependent Events

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.A.1

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.1

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.5

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 

• 9/49
• 4/125
• 1/10
• 1/30

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

There are 5 red roses, 3 yellow roses, and 8 white roses in a tray. If Stephanie picked 2 roses one after the other without replacing, then what is the probability of picking a white rose first and a red rose next?

• 1/6
• 5/6
• 1/3
• 2/3

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

There are 4 white marbles, 6 red marbles, and 2 blue marbles. Once a marble is selected, it is not replaced. Find the probability of selecting 2 blue marbles.

• 1/2
• 1/36
• 1/6
• 1/66

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?

• 5/15

• 36/256

• 1/3

• 1/8