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Introduction to Probability

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

If we throw two dice simultaneously, what would be the probability that we get a 10 or 11?

a)

5/36

b)

5/12

c)

1/3

d)

None of these

2.

The probability of an impossible event is

a)

0

b)

1

c)

Infinity

d)

None of these

3.

If A and B are two independent events, what is P(A∩B), given that P(A)=0.5 and P(B)=0.3?

a)

0.8

b)

0.15

c)

0.2

d)

None of these

4.

If E and F are two mutually exclusive events, what is P(E⋃F) given that P(E)=0.25 and P(F)=0.4?

a)

0.65

b)

0.1

c)

0.55

d)

none of these

5.

For any Certain Event, the probability is

a)

1

b)

greater than 1

c)

0

d)

Infinity

6.

If A and B are disjoint events, then it must be that

a)

P(A∩B)=0

b)

P(A)=0 and P(B)=0

c)

P(A or B)=0

d)

P(A̅) = P(B)

7.

If a fair coin is tossed 5 times repeatedly, what would be the size of the sample space?

a)

16

b)

10

c)

32

d)

none of these

8.

If A and B are independent events, then it must be that

a)

A̅ and B are independent events

b)

A and B̅ are independent events

c)

A̅ and B̅ are independent events

d)

All of these

9.

Two persons X and Y appear in an interview for two vacancies in the same post. The probability of X's selection is 1/5 and that of Y's selection is 1/3. The probability that none of them will be selected is :

a)

7/15

b)

8/15

c)

9/15

d)

10/15

10.

If P(A)=0.3, P(B)=0.2 and P(C)=0.1 and A, B and C are independent events, find the probability of occurrence of at least one of the three events A, B and C?

a)

0.496

b)

0.092

c)

0.6

d)

none of these

11.

In A, B and C are mutually exclusive and exhaustive events, then

a)

P(A⋂B⋂C) = 0

b)

P(A⋃B⋃C) = 1

c)

P(A⋂B) = 0,

P(B⋂C) = 0,

P(C⋂A) = 0

d)

All of these will hold

12.

Let A and B be two events such that P(A) =½, P(B)=⅓ and P(A⋂B)=¼ , then P(A|B) is

a)

3/4

b)

7/12

c)

1/2

d)

5/12

13.

Which of the following are axioms of probability?

a)

For any event A, P(A) ≥ 0

b)

Probability of the sample space is 1

c)

If A1, A2, ..... An are disjoint events of S, then Σ P(Ai) = P (S)

d)

All of these