Quiz about Conditional Probability

Question 1

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies?

Accepted Answer

27/40

Answer

1.48

Answer

.008

Answer

.0593

Question 2

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

Accepted Answer

.2222

Answer

.2

Answer

.10

Answer

.5

Question 3

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Full-time | Male)

Accepted Answer

3/10

Answer

7/3

Answer

3/7

Answer

4/7

Question 4

Consider the following table with information about all of the students taking Statistics at Happy High School.

Find P( Female | Part-time) =

Accepted Answer

15/43

Answer

15/31

Answer

43/71

Answer

31/43

Question 5

Given the following VENN Diagram answer the following.

P( A | B )

Accepted Answer

.4

Answer

2

Answer

.6

Answer

.8

Question 6

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds an AA, given they hold a Visa.

Accepted Answer

.0267

Answer

37.5

Answer

.02

Answer

.3333

Question 7

P(Sandals|Pants):

Accepted Answer

2/7

Answer

4/20

Answer

6/15

Answer

1/2

Question 8

The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?

Accepted Answer

8/15

Answer

1/2

Answer

20/15

Answer

6/8

Question 9

A science teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?

Accepted Answer

59.5%

Answer

10.5%

Answer

1.6%

Answer

Not enough information

Question 10

A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?

Accepted Answer

72.3%

Answer

16%

Answer

1.38%

Answer

Not enough information

Question 11

45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?

Accepted Answer

60%

Answer

40%

Answer

24%

Answer

1.7%

Question 12

What is P(T given C)?

Accepted Answer

33.3%

Answer

45%

Answer

29.6%

Answer

40%

Question 13

P(Pizza|Senior):

Accepted Answer

2/3

Answer

10/15

Answer

4/5

Answer

10/5

Question 14

Given P(A) = .8 and P( B| A) = .3, find P( A and B).

Accepted Answer

.24

Answer

2.6

Answer

.12

Answer

.38

Question 15

Given the following VENN Diagram answer the following.

P( A | B )

Accepted Answer

.67

Answer

2

Answer

.4

Answer

.8

Question 16

Given the following VENN Diagram answer the following

P( B | A )

Accepted Answer

.4

Answer

.25

Answer

.5

Answer

.67

Conditional Probability

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics