Conditional Probability

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and does not replace it. Then he chooses a second pencil. What is the probability both pencils are yellow?

• 54.4%

• 46.7%

• 49.0%

• 23.3%

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and does not replace it. Then he chooses a second pencil. What is the probability the first pencil is yellow and the second pencil is black?

• 54.4%

• 46.7%

• 49.0%

• 23.3%

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and replaces it. Then he chooses a second pencil. What is the probability that both pencils are yellow?

• 21.0%

• 46.7%

• 49.0%

• 23.3%

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

Find P( Female | Part-time) =

• 15/31

• 43/71

• 31/43

• 15/43

Given the following VENN Diagram answer the following.

P( A | B )

• 2

• .4

• .6

• .8

P(A∣B)=

• P(A⋂B)/P(A)

• P(A⋂B)/P(B)

• P(A⋃B)/P(A)

• P(A⋃B)/P(B)

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

P(Pizza|Senior):

• 10/15

• 4/5

• 2/3

• 10/5