EduSahara™ Worksheet

Question 1

1.

A coin is tossed 40 times and tail appears 20 times. If the coin is tossed again, what is the probability of getting a head?

(i)

3
4
(ii)

5
6
(iii)

2
3
(iv)

4
5
(v)

1
2

Question 2

2.

A coin is tossed 80 times and head appears 65 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

1
4
(ii)

13
16
(iii)

1
8
(iv)

3
16
(v)

4
17

Question 3

3.

Two coins are tossed simultaneously 140 times and it was observed that both heads appeared 75 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

13
28
(ii)

4
7
(iii)

1
2
(iv)

16
29
(v)

15
28

Question 4

4.

Two coins are tossed simultaneously 140 times and it was observed that both tails appeared 105 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

1
4
(ii)

1
(iii)

1
2
(iv)

3
4
(v)

4
5

Question 5

5.

A die is thrown 120 times. Prime numbers appeared on the upper face 20 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

2
7
(ii)

1
6
(iii)

0
(iv)

5
6
(v)

1
3

Question 6

6.

A survey of 50 men showed that only 25 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English?

(i)

3
4
(ii)

4
5
(iii)

5
6
(iv)

1
2
(v)

2
3

Question 7

7.

On a particular day, at a crossing in a city, the various types of 165 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Two-wheeler

Three-wheeler

Four-wheeler

Frequency

40

60

65

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

(i)

8
33
(ii)

3
11
(iii)

25
33
(iv)

9
34
(v)

7
33

Question 8

8.

The following table shows the blood-groups of 342 students of a class.

Blood group

O

A

B

AB

Number of students

45

72

99

126

One student of the class is choosen at random. What is the probability that the choosen student has blood group 'A' ?

(i)

1
4
(ii)

15
19
(iii)

3
19
(iv)

4
19
(v)

5
19

Question 9

9.

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

(i)

2
3
(ii)

5
6
(iii)

3
4
(iv)

4
5
(v)

1
2

Question 10

10.

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

(i)

3
4
(ii)

2
3
(iii)

1
2
(iv)

5
6
(v)

4
5

Question 11

11.

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

(i)

1
4
(ii)

3
4
(iii)

1
2
(iv)

1
(v)

4
5

Question 12

12.

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

(i)

1
4
(ii)

2
5
(iii)

1
2
(iv)

3
4
(v)

0

Question 13

13.

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

(i)

3
4
(ii)

1
2
(iii)

1
(iv)

1
4
(v)

4
5

Question 14

14.

Two unbiased coins are tossed simultaneously. Find the probability of getting no head.

(i)

2
5
(ii)

0
(iii)

3
4
(iv)

1
4
(v)

1
2

Question 15

15.

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

(i)

3
8
(ii)

1
2
(iii)

5
8
(iv)

1
4
(v)

4
9

Question 16

16.

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

(i)

1
8
(ii)

8
9
(iii)

3
4
(iv)

7
8
(v)

1

Question 17

17.

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

(i)

2
3
(ii)

5
6
(iii)

3
4
(iv)

1
2
(v)

4
5

Question 18

18.

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

(i)

1
2
(ii)

5
6
(iii)

2
3
(iv)

3
4
(v)

4
5

Question 19

19.

Three unbiased coins are tossed simultaneously. Find the probability of getting no head.

(i)

1
4
(ii)

2
9
(iii)

0
(iv)

1
8
(v)

7
8

Question 20

20.

Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.

(i)

2
7
(ii)

1
3
(iii)

1
6
(iv)

0
(v)

5
6

Question 21

21.

Two unbiased dice are thrown simultaneously. Find the probability of getting 11 as the sum of the two numbers on the dice.

(i)

1
18
(ii)

0
(iii)

2
19
(iv)

1
9
(v)

17
18

Question 22

22.

Two unbiased dice are thrown simultaneously. Find the probability of getting at least 4 as the sum of the two numbers on the dice.

(i)

12
13
(ii)

11
12
(iii)

1
(iv)

1
12
(v)

5
6

Question 23

23.

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

(i)

12
37
(ii)

25
36
(iii)

1
3
(iv)

11
36
(v)

5
18

Question 24

24.

A die is thrown twice. What is the probability that 2 will not come up either time?

(i)

26
37
(ii)

13
18
(iii)

2
3
(iv)

11
36
(v)

25
36

Question 25

25.

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

(i)

1
13
(ii)

1
4
(iii)

1
52
(iv)

1
26
(v)

3
13

Question 26

26.

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

(i)

3
13
(ii)

1
4
(iii)

1
52
(iv)

1
26
(v)

1
13

Question 27

27.

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

(i)

1
26
(ii)

1
4
(iii)

3
13
(iv)

1
52
(v)

1
13

Question 28

28.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '2' of hearts?

(i)

1
26
(ii)

1
4
(iii)

1
13
(iv)

3
13
(v)

1
52

Question 29

29.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '6' of red suit ?

(i)

1
26
(ii)

1
13
(iii)

3
13
(iv)

1
52
(v)

1
4

Question 30

30.

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

(i)

1
13
(ii)

3
13
(iii)

1
26
(iv)

1
4
(v)

1
52

Question 31

31.

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)

1
4
(ii)

1
13
(iii)

3
13
(iv)

1
26
(v)

1
52

Question 32

32.

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

(i)

1
13
(ii)

7
13
(iii)

1
52
(iv)

1
26
(v)

3
13

Question 33

33.

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

(i)

3
4
(ii)

1
2
(iii)

2
3
(iv)

5
6
(v)

4
5

Question 34

34.

An unbiased die is thrown once. Find the probability of getting an even number?

(i)

3
4
(ii)

2
3
(iii)

4
5
(iv)

5
6
(v)

1
2

Question 35

35.

An unbiased die is thrown once. Find the probability of getting a 5?

(i)

5
6
(ii)

0
(iii)

2
7
(iv)

1
3
(v)

1
6

Question 36

36.

An unbiased die is thrown once. Find the probability of getting a number greater than 3?

(i)

3
4
(ii)

1
2
(iii)

4
5
(iv)

5
6
(v)

2
3

Question 37

37.

An unbiased die is thrown once. Find the probability of getting a number less than 5?

(i)

3
4
(ii)

1
3
(iii)

1
(iv)

2
3

Question 38

38.

An unbiased die is thrown once. Find the probability of getting a number between 2 and 4?

(i)

5
6
(ii)

1
3
(iii)

2
7
(iv)

0
(v)

1
6

Question 39

39.

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

(i)

4
(ii)

5
(iii)

6
(iv)

3
(v)

2

Question 40

40.

When two dice are thrown simultaneously, how many elementary events are possible?

(i)

36
(ii)

39
(iii)

37
(iv)

34
(v)

35

Question 41

41.

When a card is selected randomly out of a pack of cards, how many elementary events are possible?

(i)

53
(ii)

51
(iii)

55
(iv)

50
(v)

52

Question 42

42.

What is the probability of a sure event?

(i)

1
(ii)

0
(iii)

1
2
(iv)

3
4
(v)

1
4

Question 43

43.

What is the probability of an impossible event?

(i)

3
4
(ii)

1
(iii)

1
4
(iv)

0
(v)

1
2

Question 44

44.

Which of the following are true?

a)	The probability of an event that cannot happen is unknown
b)	The probability of an event that is very likely to happen is 1
c)	If the probability of failing the exam is 0.33, the probability of passing the exam is 0.67
d)	If the probability is too less, it will become negative
e)	Probability of getting 109 marks out of 100 is 1.09

(i)

{c}
(ii)

{a,c}
(iii)

{b,c}
(iv)

{d,e,c}

Question 45

45.

Which of the following experiments have equally likely outcomes?

a)	A true/false question is attempted. The answer is either right or wrong
b)	A baby is born. It is a boy or girl
c)	A man starts his vehicle. It starts or it does not starts
d)	A ball is hit. It reaches the boundary or not
e)	A man throws a die. The number on the top is either 3 or not 3

(i)

{c,a}
(ii)

{d,b}
(iii)

{e,c,a}
(iv)

{d,b,a}
(v)

{a,b}

Question 46

46.

Which of the following are possible values of probability?

a)

3

4

b)

8

5

c)

-2.4

d)

0.88

e)

2

(i)

{c,d,a}
(ii)

{b,a}
(iii)

{a,d}
(iv)

{e,b,a}
(v)

{c,d}

Question 47

47.

If P(E) =
0.25
, find P(
E
)

(i)

2.75
(ii)

1.75
(iii)

7.75
(iv)

0.75
(v)

8.75

Question 48

48.

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)	For an event E, we have 0 ≤ P(E) ≤ 1
d)	The probability of an impossible event is 1
e)	The probability of an unsure event is 0

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{d,c}
(v)

{a,b}

Question 49

49.

Which of the following are true?

a)

P(E) - P(
E
) = 0

b)

P(E) = 1 - P(
E
)

c)

P(E) + P(
E
) = 0

d)

P(E) - P(not E) = 0

e)

P(E) + P(not E) = 1

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{c,e}
(iv)

{b,e}
(v)

{a,b}

Question 50

50.

A die is thrown 300 times. The number 1 appears on the upper face 60 times. Now the die is thrown at random. What is the probability of getting a 1 ?

(i)

0
(ii)

4
5
(iii)

1
3
(iv)

1
5
(v)

2
5

Question 51

51.

A die is thrown twice. What is the probability that 3 will not come up either time?

(i)

11
36
(ii)

25
36
(iii)

26
37
(iv)

13
18
(v)

2
3

Question 52

52.

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

(i)

5
18
(ii)

25
36
(iii)

1
3
(iv)

12
37
(v)

11
36

Assignment Key