Free Printable Probability Theory

1.

An event whose occurrence is impossible, is called

a)

Sure event

b)

Uncertain event

c)

Null event

d)

None of these

2.

If the occurrence of one of them excludes the possibility of the occurrence of the other, then the event is called ...

a)

Mutually exclusive/ Disjoint

b)

Independent

c)

Mutually exhaustive

d)

Sure event

3.

Number of combinations of 4 items taking 2 at a time, $4C_2\ =$

a)

5

b)

6

c)

0

d)

4

4.

If two events, A and B are mutually exclusive, then P(AUB) =

a)

P(A) + P(B)

b)

P(A) + P(B) - P(A $\cap$ B)

c)

P(A) $\times$ P(B)

d)

P(A)- P(B)

5.

A card is selected from a deck of cards. What is the probability that the card is Black ?

a)

$\frac{1}{52}$

b)

$\frac{1}{13}$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

6.

Three coins are tossed simultaneously . The sample space will contain ... sample points.

a)

1

b)

2

c)

4

d)

8

7.

Two Coins are tossed. Let X be the Random Variable indicating the number of Heads. X can take the values ...

a)

0,1

b)

0,1,2

c)

0,1,2,3

d)

0,1,2,3,4

8.

Two Dice are tossed. What is the probability of getting sum of the numbers on the dice is 3

a)

$\frac{1}{36}$

b)

$\frac{1}{18}$

c)

$\frac{3}{36}$

d)

$\frac{3}{18}$

9.

The probability P(A/B) is called ....

a)

Independent probability

b)

Disjoint Events

c)

Sure Probability

d)

Conditional Probability

10.

How many 2 digit numbers can be formed using the digits of the number 6789 if repetition of numbers are not allowed ( 66, 77, 88 & 99 not allowed)?

a)

16

b)

12

c)

6

d)

8

11.

How many 2 digit numbers can be formed using the digits of the number 6789 if repetition of numbers are allowed ( 66, 77, 88 & 99 are allowed)?

a)

16

b)

12

c)

6

d)

8

12.

$find\ P\left(A\cup B\right).\$ when P(A)=0.3, P(B)=0.4, A and B are Mutually exclusive events.

a)

$0.3$

b)

$0.4$

c)

$0.7$

d)

$0.58$

13.

$find\ P\left(A\cup B\right).\$ when P(A)=0.3, P(B)=0.4, A and B are indendent events.

a)

$0.3$

b)

$0.4$

c)

$0.7$

d)

$0.58$

14.

$P\left(A\cup B\right)=0.6$ , $P\left(A\right)=0.5$ , $P\left(B\right)=0.2$ $find\ P\left(A\cap B\right)$

a)

$0$

b)

$0.2$

c)

$0.1$

d)

$0.7$

15.

$P\left(Atleast\ \ \ One\ \right)=\ \frac{5}{6}$ find $P\left(\ No\ \ \ \ One\right).$

a)

$\frac{5}{6}$

b)

$\frac{1}{6}$

c)

$\frac{2}{3}$

d)

$\frac{6}{5}$

16.

$C-Student\ of\ Commerce\ Dept.$ $E-\ Students\ of\ Economics\ Dept.$ $B\ -Boys\ of\ Our\ college\$ Then $E\cap C=\ ?$

a)

$\phi$

b)

$E-C$

c)

$E\cup C$

d)

$E\subset C$

17.

$P\left(A\right)=\ \frac{favourable\ Cases}{Total\ Cases}$ , This definition of probability is called ...

a)

Axiomatic Definition

b)

Classical Definition

c)

Frequency Definition

d)

Subjective Definition

18.

What is the probability of having 53 Sundays in a leap year ?

a)

$\frac{1}{366}$

b)

$\frac{1}{53}$

c)

$\frac{1}{7}$

d)

$\frac{2}{7}$

19.

When a die is thrown, ...................is the probability of getting a 5

a)

$\frac{1}{6}$

b)

$\frac{5}{6}$

c)

$\frac{1}{2}$

d)

$\frac{4}{5}$

20.

Two events are said to be independent if

a)

There is no common point in between them

b)

Both the events have only one point

c)

Each outcome has equal chance of occurrence

d)

One does not affect the occurrence of the other

21.

Sample space for the event of tossing two coins is

a)

$S=\left\{1,2,3,4,5,6\right\}$

b)

$S=\left\{H,T\right\}$

c)

$S=\left\{HH,\ HT,\ TH,\ TT\right\}$

d)

S={HHH,HHT,HTH,HTT,THT,TTH,THH,TTT}

22.

$P\left(A\cap B\right)\le P\left(A\right)$

a)

$True$

b)

$False$

23.

in Some Cases, P(A) can take negative values

a)

$True$

b)

$False$

24.

$P\left(A\right)=1.25.\$ is this possible for an event A ?

a)

Yes, its Possible

b)

$No,\ P\left(A\right)\$ cannot take a value geater than one

25.

Here the events A, B are called...

a)

Sure Events

b)

Null Events

c)

Disjoint Events

d)

Mutual Events

Probability Theory

Total questions: 25

Worksheet time: 13mins

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