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Probability: Addition Rule & Conditional

Total questions: 14

Worksheet time: 32mins

Name
Class
Date
1.

When rolling a single die, the events of rolling an even and an odd number are mutually exclusive.

a)

True

b)

False

2.

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are mutually exclusive.

a)

True

b)

False

3.

P(Sandal U Pants):

a)

7/10

b)

1/6

c)

1/9

d)

5/6

4.

A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?

a)

1/3

b)

2/3

c)

1/2

d)

None of the above

5.

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

a)

1.18

b)

0.7

c)

0.82

d)

None of the above

6.

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

7.

If P(A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18, what is P(A or B)?

a)

0.17

b)

0.47

c)

0.59

d)

0.65

8.

Use the Venn Diagram to find  P(AB)P\left(A\cup B\right)  

a)

39/50

b)

24/31

c)

3/4

d)

12/25

9.

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

10.

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are mutually exclusive.

a)

True

b)

False

11.

Given the following VENN Diagram answer the following.


P( B | A )

a)

2

b)

.4

c)

.6

d)

.8

12.
Which of the following shows how to determine P(shaded number or number less than five)?
a)
4/8 + 4/8 - 2/8
b)
4/9 + 2/8 - 4/8
c)
4/8 + 6/8 + 2/8
d)
2/8 + 4/8 - 4/8
13.
The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?
a)
1250/1400
b)
700/1400
c)
550/1400
d)
17/28
14.

Given the following VENN Diagram answer the following.


P( A U B )

a)

2

b)

.4

c)

.6

d)

.8