Compound Probability

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

Find the probability of each set of independent events.

drawing a black checker from a bag of 6 black checkers and 4 red checkers, replacing it, and drawing another black checker.

• 2/3

• 9/25

• 2/5

• 3/5

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

A standard die is rolled twice. Find each probability.

P (odd both times)

• 1/2

• 1/4

• 2/3

• 1/9

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P (red, then yellow)

• 5/138

• 5/288

• 5/144

• 5/12

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P (blue, then green)

• 1/18

• 1/12

• 2/3

• 1/24

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

A jar contains 8 green, 4 blue, 10 red, and 2 yellow Skittles. A Skittle is randomly drawn, REPLACED, then another is drawn. Find each probability.

P(both blue)

• 1/18

• 1/12

• 1/36

• 1/24

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

What is the probability of picking a blue marble, putting it back in the bag, then picking a red marble?

•  $\frac{3}{7}\times\frac{3}{7}$  

•  $\frac{4}{7}\times\frac{4}{7}$  

•  $\frac{4}{7}\times\frac{3}{6}$  

•  $\frac{4}{7}\times\frac{3}{7}$  

Tags

CCSS.7.NS.A.2

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8