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Probability (The addition law)

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
Given a standard number cube, and the events of rolling an odd number or a 4. Are the events mutually exclusive?
a)

Not Mutually Exclusive

b)
Mutually exclusive
c)
1/2
d)
1/6
2.

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

3.
Which of the following shows how to determine P(skateboard or rollerblades)?
a)
48/100 + 42/100 - 39/100
b)
39/100 + 3/100 - 49/100
c)
49/100 + 9/100 - 3/100
d)
9/100 + 3/100 - 39/100
4.

A recent study of a metropolitan area found that 31% of people owned a SUV, 74% of people surveyed owned a car, and 10% owned both. What's the probability that a randomly chosen person owned a SUV or a car?

a)

85%

b)

95%

c)

5%

d)

15%

5.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
6.

If you roll one die, what is the probability of getting an even number or a multiple of 3? Are the events mutually exclusive or not?

a)

Not mutually exclusive

b)

Mutually exclusive

7.

The probabilities of all mutually exclusive outcomes add up to...

(a)  

8.

 P(A)=0.45P\left(A\right)=0.45  and  P(A∩B)=0.2P\left(A\cap B\right)=0.2  and  P(A∪B)=0.75P\left(A\cup B\right)=0.75  Find  P(B)P\left(B\right)  .

a)

0.5

b)

0.1

c)

0.3

d)

Not given

9.

 P(A)=0.4P\left(A\right)=0.4  and  P(A∩B)=0.15P\left(A\cap B\right)=0.15  and  P(A∪B)=0.6P\left(A\cup B\right)=0.6  Find  P(B′)P\left(B'\right)  .

a)

0.35

b)

0.65

c)

0.05

d)

0.95

10.

 P(A)=16; P(B)=112; P\left(A\right)=\frac{1}{6};\ P\left(B\right)=\frac{1}{12};\  

 P(A∪B)=14P\left(A\cup B\right)=\frac{1}{4}  

A and B are mutually exclusive.

a)

True

b)

False

c)

There is not enough information to determine.