Quiz about Conditional Probability, Union, Intersection

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

Question 17

The image represents which of the following?

Accepted Answer

intersection, "and"

Answer

union, "or"

Answer

intersection, "or"

Answer

union, "and"

Question 18

The image represents which of the following?

Accepted Answer

union, "or"

Answer

intersection, "and"

Answer

intersection, "or"

Answer

union, "and"

Question 19

P(Sandals|Pants) =

Accepted Answer

4/14

Answer

4/20

Answer

6/15

Answer

1/2

Question 20

P(Pants|Sandals) =

Accepted Answer

4/20

Answer

6/15

Answer

1/2

Answer

4/14

Question 21

What is the probability that the person picked will be a boy given they speak german?

Accepted Answer

.7273

Answer

.4

Answer

.16

Answer

.22

Question 22

What is the probability that they speak French given they are a girl?

Accepted Answer

.4

Answer

2.14

Answer

.24

Answer

.8571

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