Statistics Conditional Probability

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

A coin is flipped and a die is rolled. What is the probability that the coin lands heads up, given that the number rolled was 1?

• 6.3%

• 50.0%

• 8.3%

• 2.8%

Two Events A and B are independent in relation if and only if...

• P(A) = P(B)

• P(B|A) = P(B)

• P(A|B) = P(B)

• P(A|B)=P(B|A)

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 at random.

What is the probability that the second pencil was yellow, given that the first one was yellow?

• 7/9

• 2/3

• 7/10

• 3/5

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 that the second pencil is black, given that the first one was yellow?

• 2/9

• 1/5

• 3/10

• 1/3

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and replaces it. Then he chooses a second pencil at random.

What is the probability that the second pencil was yellow, given that the first one was yellow?

• 2/3

• 7/9

• 7/10

• 3/5

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 that the second pencil was black, given that the first one was black?

• 1/5

• 2/9

• 3/10

• 1/3

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 that the second marble drawn is purple.

• 60%

• 75%

• 30%

• 40%

A sample space consists of everyone who was on the Titanic the night that it sank.

Let S=the people who survived and

C=the crew members

Which of the following represents the probability that a crew member did not survive?

• P(C|S')

• P(S'|C)

• P(C|S)

• P(S|C)