EduSahara™ Worksheet

Question 1

1.

A die is thrown twice. What is the probability that 3 will come up atleast once?

(i)

1
3
(ii)

25
36
(iii)

12
37
(iv)

11
36
(v)

5
18

Question 2

2.

A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.

(i)

9
70
(ii)

6
7
(iii)

62
71
(iv)

31
35
(v)

61
70

Question 3

3.

If P(E) =
0.33
, find P(
E
)

(i)

8.67
(ii)

2.67
(iii)

0.67
(iv)

1.67
(v)

7.67

Question 4

4.

Which of the following are true?

a)	The probability of an imposible event can be > 1
b)	The probability of a sure event is 1
c)	The probability of an impossible event is 1
d)	For an event E, we have 0 ≤ P(E) ≤ 1
e)	The probability of an unsure event is 0

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{e,a,b}
(v)

{a,b}

Question 5

5.

An unbiased die is thrown once. Find the probability of getting a prime number?

(i)

5
6
(ii)

2
3
(iii)

3
4
(iv)

1
2
(v)

4
5

Question 6

6.

62 cards are numbered 1,2,3,....62 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is less then 24?

(i)

11
31
(ii)

12
31
(iii)

8
21
(iv)

39
62
(v)

23
62

Question 7

7.

A die is thrown twice. What is the probability that 1 will not come up either time?

(i)

13
18
(ii)

26
37
(iii)

2
3
(iv)

25
36
(v)

11
36

Question 8

8.

What is the probability of an impossible event?

(i)

1
4
(ii)

1
(iii)

1
2
(iv)

3
4
(v)

0

Question 9

9.

On a particular day, at a crossing in a city, the various types of 135 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Two-wheeler

Three-wheeler

Four-wheeler

Frequency

25

50

60

Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Three-wheeler' ?

(i)

10
27
(ii)

11
27
(iii)

11
28
(iv)

17
27
(v)

1
3

Question 10

10.

Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.

(i)

1
4
(ii)

4
9
(iii)

1
2
(iv)

3
8
(v)

5
8

Question 11

11.

Two players Aparna and Pooja play a tennis match. It is known that the probability of Aparna winning the match is 0.67. What is the probability of Pooja winning the match?

(i)

17
50
(ii)

8
25
(iii)

34
101
(iv)

67
100
(v)

33
100

Question 12

12.

Three unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.

(i)

4
5
(ii)

5
6
(iii)

3
4
(iv)

1
2
(v)

2
3

Question 13

13.

In a lottery, there are 15 prizes and 18 blanks. What is the probability of getting a prize?

(i)

4
11
(ii)

6
11
(iii)

1
2
(iv)

5
11

Question 14

14.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a face card ?

(i)

3
13
(ii)

1
4
(iii)

1
26
(iv)

1
13
(v)

1
52

Question 15

15.

A carton consist of 103 shirts of which 89 are good, 10 have minor defects and 4 have major defects. Praveen, a trader, will only accept the shirts which are good, but Revathi, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Revathi?

(i)

99
103
(ii)

98
103
(iii)

4
103
(iv)

100
103
(v)

25
26

Question 16

16.

A die is thrown twice. What is the probability that 4 will come atleast once?

(i)

1
3
(ii)

12
37
(iii)

5
18
(iv)

25
36
(v)

11
36

Question 17

17.

Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.

(i)

3
4
(ii)

2
3
(iii)

4
5
(iv)

5
6
(v)

1
2

Question 18

18.

50 cards are numbered 1,2,3,....50 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is divisible by 5?

(i)

2
5
(ii)

1
5
(iii)

0
(iv)

4
5
(v)

1
3

Question 19

19.

When two coins are tossed simultaneously, how many elementary events are possible?

(i)

3
(ii)

2
(iii)

4
(iv)

6
(v)

5

Question 20

20.

Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.

(i)

4
5
(ii)

3
4
(iii)

1
2
(iv)

1
4
(v)

1

Question 21

21.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '8' of black suit ?

(i)

1
52
(ii)

1
26
(iii)

1
13
(iv)

1
4
(v)

3
13

Question 22

22.

Which of the following are possible values of probability?

a)

0.67

b)

-2.2

c)

2

d)

2

9

e)

5

2

(i)

{a,d}
(ii)

{c,d}
(iii)

{b,a}
(iv)

{e,b,a}
(v)

{c,d,a}

Question 23

23.

In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?

(i)

0
(ii)

1
4
(iii)

1
2
(iv)

3
4
(v)

2
5

Question 24

24.

A bag contains 50 pink balls, 60 black balls, 35 blue balls and 25 red balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is pink or red.

(i)

16
35
(ii)

19
34
(iii)

7
17
(iv)

8
17
(v)

15
34

Question 25

25.

A single unbiased coin is tossed. Find the probability of getting a head.

(i)

4
5
(ii)

5
6
(iii)

3
4
(iv)

1
2
(v)

2
3

Assignment Key