Probability Multiplication Rule

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. 
What is P(purple then black)?

• 1/18
• 2/5
• 3/7
• 4/9

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Jim picks a diamond out of a deck of cards, replaces it and gets a diamond again. What is the probability this happened. (There are 13 diamonds, and 52 cards in a deck)

• 1/16
• 2/13
• 4/17
• 1/21

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

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

• 2/9
• 1/3
• 1/2
• 1/4

Tags

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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(white, then purple, then black)

• 1/36
• 2/39
• 5/41
• 6/43

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

Clara picks a marble at random, puts it back, and then picks another marble at random.

• Dependent
• Independent

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.

• Independent
• Dependent

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.4

CCSS.HSS.CP.A.5

CCSS.HSS.CP.B.6

The outcome of one event does not influence the outcome of the other event

• independent event
• tree diagram
• simple event
• odds

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

A bag contains 5 red marbles and 4 pink marbles. A marble is randomly drawn and then replaced. What is the probability the first marble is pink and the second is red?

• 26.9%

• 24.7%

• 20.0%

• 5%

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

Find the probability:
A basket contains 5 apples and 7 peaches.  You randomly selct one piece of fruit and eat it.  Then you randomly select another piece of fruit.  The first piece of fruit is an apple and the second piece is a peach.

• 12/132
• 35/144
• 35/132

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9

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.HSS.CP.A.3

CCSS.HSS.CP.B.6

CCSS.HSS.CP.B.8

CCSS.HSS.CP.B.9