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10A Probability

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
2.

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


Find P( Full-time | Male)

a)

7/3

b)

3/10

c)

3/7

d)

4/7

3.

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


Find P( Female | Part-time) =

a)

15/31

b)

43/71

c)

31/43

d)

15/43

4.

Given the following VENN Diagram answer the following.


P( A | B )

a)

2

b)

.4

c)

.6

d)

.8

5.

P(A∣B)=

a)

P(A⋂B)/P(A)

b)

P(A⋂B)/P(B)

c)

P(A⋃B)/P(A)

d)

P(A⋃B)/P(B)

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.

a)

.0267

b)

37.5

c)

.02

d)

.3333

7.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
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?
a)
1/2
b)
20/15
c)
8/15
d)
6/8
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?

a)

59.5%

b)

10.5%

c)

1.6%

d)

Not enough information

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?

a)

16%

b)

1.38%

c)

72.3%

d)

Not enough information

11.
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? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
12.

What is P(T given C)?

a)

45%

b)

29.6%

c)

40%

d)

33.3%

13.
P(Pizza|Senior):
a)
10/15
b)
4/5
c)
2/3
d)
10/5
14.

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

a)

2.6

b)

.12

c)

.24

d)

.38

15.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon? Select the TWO correct answers

a)

0.3

b)

0.1

c)

3/10

d)

30%

e)

10%

16.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

17.

A clothing store sells shirts, pants, and jackets. What's the complement of randomly selecting an item that is a jacket?

a)

Selecting a shirt or a jacket

b)

Not selecting pants

c)

Not selecting a jacket

d)

Selecting a jacket

18.

In the clothing store, the probability of randomly selecting a jacket is 34%. What's the probability of its complement?

a)

P(not jacket)= 56%

b)

P(jacket) = 66%

c)

P(not jacket) = 50%

d)

P(not jacket) = 66%

19.

What's the probability of the complement of spinning on black as a fraction?

a)

1/4

b)

7/8

c)

8/8

d)

1/8

20.

How much have you enjoyed Maths this year?

a)

0-25%

b)

25-50%

c)

50-75%

d)

75-100%