EduSahara™ Worksheet

Question 1

1.

A coin is tossed 50 times and tail appears 35 times. If the coin is tossed again, what is the probability of getting a head?

(i)

4
11
(ii)

3
10
(iii)

2
5
(iv)

7
10
(v)

1
5

Question 2

2.

A coin is tossed 70 times and head appears 20 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

2
7
(ii)

6
7
(iii)

5
7
(iv)

3
4
(v)

4
7

Question 3

3.

Two coins are tossed simultaneously 120 times and it was observed that both heads appeared 100 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

1
(ii)

1
6
(iii)

6
7
(iv)

2
3
(v)

5
6

Question 4

4.

Two coins are tossed simultaneously 120 times and it was observed that both tails appeared 20 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

0
(ii)

1
3
(iii)

5
6
(iv)

1
6
(v)

2
7

Question 5

5.

A die is thrown 110 times. Prime numbers appeared on the upper face 50 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

1
2
(ii)

6
11
(iii)

4
11
(iv)

5
11

Question 6

6.

A survey of 130 men showed that only 95 of them know Hindi. Out of these men, if one is selected at random, what is the probability that the selected man knows Hindi?

(i)

19
26
(ii)

7
26
(iii)

20
27
(iv)

9
13
(v)

10
13

Question 7

7.

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

(i)

4
5
(ii)

3
4
(iii)

1
2
(iv)

2
3
(v)

5
6

Question 8

8.

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

(i)

4
5
(ii)

3
4
(iii)

1
2
(iv)

2
3
(v)

5
6

Question 9

9.

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

(i)

1
2
(ii)

4
5
(iii)

1
4
(iv)

3
4
(v)

1

Question 10

10.

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

(i)

2
5
(ii)

1
2
(iii)

1
4
(iv)

3
4
(v)

0

Question 11

11.

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

(i)

4
5
(ii)

1
2
(iii)

1
(iv)

3
4
(v)

1
4

Question 12

12.

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

(i)

0
(ii)

1
2
(iii)

3
4
(iv)

2
5
(v)

1
4

Question 13

13.

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

(i)

5
8
(ii)

1
4
(iii)

1
2
(iv)

4
9
(v)

3
8

Question 14

14.

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

(i)

1
(ii)

3
4
(iii)

1
8
(iv)

7
8
(v)

8
9

Question 15

15.

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

(i)

5
6
(ii)

2
3
(iii)

4
5
(iv)

1
2
(v)

3
4

Question 16

16.

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

(i)

3
4
(ii)

4
5
(iii)

1
2
(iv)

5
6
(v)

2
3

Question 17

17.

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

(i)

2
9
(ii)

1
8
(iii)

7
8
(iv)

1
4
(v)

0

Question 18

18.

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

(i)

2
7
(ii)

5
6
(iii)

0
(iv)

1
3
(v)

1
6

Question 19

19.

Two unbiased dice are thrown simultaneously. Find the probability of getting 6 as the sum of the two numbers on the dice.

(i)

31
36
(ii)

6
37
(iii)

1
9
(iv)

1
6
(v)

5
36

Question 20

20.

Two unbiased dice are thrown simultaneously. Find the probability of getting at least 10 as the sum of the two numbers on the dice.

(i)

1
3
(ii)

1
6
(iii)

2
7
(iv)

0
(v)

5
6

Question 21

21.

A die is thrown twice. What is the probability that 6 will come up atleast once?

(i)

12
37
(ii)

1
3
(iii)

25
36
(iv)

11
36
(v)

5
18

Question 22

22.

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

(i)

2
3
(ii)

26
37
(iii)

13
18
(iv)

25
36
(v)

11
36

Question 23

23.

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)

3
13
(ii)

1
26
(iii)

1
52
(iv)

1
13
(v)

1
4

Question 24

24.

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 ace?

(i)

3
13
(ii)

1
4
(iii)

1
52
(iv)

1
13
(v)

1
26

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 jack of spades?

(i)

1
4
(ii)

1
26
(iii)

3
13
(iv)

1
13
(v)

1
52

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 '4' of hearts?

(i)

1
13
(ii)

1
52
(iii)

1
26
(iv)

1
4
(v)

3
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 '6' of black suit ?

(i)

1
26
(ii)

1
4
(iii)

3
13
(iv)

1
13
(v)

1
52

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 a hearts?

(i)

3
13
(ii)

1
4
(iii)

1
26
(iv)

1
52
(v)

1
13

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 a face card ?

(i)

3
13
(ii)

1
4
(iii)

1
52
(iv)

1
13
(v)

1
26

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 either a black card or a king?

(i)

7
13
(ii)

1
13
(iii)

3
13
(iv)

1
26
(v)

1
52

Question 31

31.

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

(i)

3
4
(ii)

4
5
(iii)

2
3
(iv)

1
2
(v)

5
6

Question 32

32.

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

(i)

3
4
(ii)

1
2
(iii)

4
5
(iv)

5
6
(v)

2
3

Question 33

33.

An unbiased die is thrown once. Find the probability of getting a 6?

(i)

1
3
(ii)

1
6
(iii)

5
6
(iv)

2
7
(v)

0

Question 34

34.

An unbiased die is thrown once. Find the probability of getting a number greater than 1?

(i)

1
6
(ii)

2
3
(iii)

1
(iv)

5
6
(v)

6
7

Question 35

35.

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

(i)

1
(ii)

2
3
(iii)

3
4
(iv)

1
3

Question 36

36.

An unbiased die is thrown once. Find the probability of getting a number between 1 and 4?

(i)

1
2
(ii)

1
3
(iii)

2
3
(iv)

0

Question 37

37.

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

(i)

6
(ii)

5
(iii)

3
(iv)

1
(v)

4

Question 38

38.

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

(i)

39
(ii)

35
(iii)

37
(iv)

33
(v)

36

Question 39

39.

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

(i)

53
(ii)

52
(iii)

51
(iv)

54
(v)

50

Question 40

40.

What is the probability of a sure event?

(i)

3
4
(ii)

1
(iii)

0
(iv)

1
4
(v)

1
2

Question 41

41.

What is the probability of an impossible event?

(i)

0
(ii)

1
(iii)

1
2
(iv)

1
4
(v)

3
4

Question 42

42.

Which of the following are true?

a)	The probability of an event that cannot happen is unknown
b)	If the probability is too less, it will become negative
c)	If the probability of failing the exam is 0.89, the probability of passing the exam is 0.11
d)	The probability of an event that is very likely to happen is 1
e)	Probability of getting 110 marks out of 100 is 1.1

(i)

{b,c}
(ii)

{d,e,c}
(iii)

{a,c}
(iv)

{c}

Question 43

43.

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 man throws a die. The number on the top is either 6 or not 6
c)	A ball is hit. It reaches the boundary or not
d)	A baby is born. It is a boy or girl
e)	A man starts his vehicle. It starts or it does not starts

(i)

{b,a}
(ii)

{a,d}
(iii)

{c,d,a}
(iv)

{c,d}
(v)

{e,b,a}

Question 44

44.

Which of the following are possible values of probability?

a)

-1.4

b)

2

c)

3

2

d)

1

4

e)

0.57

(i)

{c,a,d}
(ii)

{a,d}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{b,e}

Question 45

45.

If P(E) =
0.5
, find P(
E
)

(i)

7.5
(ii)

8.5
(iii)

2.5
(iv)

0.5
(v)

1.5

Question 46

46.

Which of the following are true?

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

(i)

{a,b}
(ii)

{b,d}
(iii)

{e,a,b}
(iv)

{c,d}
(v)

{c,d,b}

Question 47

47.

Which of the following are true?

a)

P(E) + P(
E
) = 0

b)

P(E) = 1 - P(
E
)

c)

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

d)

P(E) - P(
E
) = 0

e)

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

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{a,b}
(iv)

{b,c}
(v)

{e,a,b}

Question 48

48.

A die is thrown 340 times. The number 4 appears on the upper face 66 times. Now the die is thrown at random. What is the probability of getting a 4 ?

(i)

137
170
(ii)

1
5
(iii)

16
85
(iv)

33
170
(v)

34
171

Question 49

49.

261 families with 2 children were selected randomly, and the following data were recorded

No. of girls in a family

0

1

2

Number of families

45

99

117

Compute the probability of the family, chosen at random, having no girls.

(i)

6
29
(ii)

24
29
(iii)

5
29
(iv)

1
5
(v)

4
29

Question 50

50.

Three coins are tossed simultaneously 190 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

35

60

65

If the three coins are simultaneously tossed again, compute the probability of 'No heads' coming up.

(i)

25
38
(ii)

13
38
(iii)

7
19
(iv)

6
19
(v)

14
39

Question 51

51.

A die is thrown 385 times with the frequencies for outcomes 1, 2, 3, 4, 5 and 6 as given in the following table

Outcome

1

2

3

4

5

6

Frequency

40

45

50

65

90

95

If the die is thrown again randomly, find the probability of getting 6 as outcome.

(i)

18
77
(ii)

20
77
(iii)

19
77
(iv)

58
77
(v)

10
39

Question 52

52.

A die is thrown twice. What is the probability that 4 will not come up either time?

(i)

11
36
(ii)

26
37
(iii)

2
3
(iv)

13
18
(v)

25
36

Question 53

53.

A die is thrown twice. What is the probability that 1 will come atleast once?

(i)

25
36
(ii)

5
18
(iii)

11
36
(iv)

1
3
(v)

12
37

Assignment Key