EduSahara™ Worksheet

Question 1

1.

A coin is tossed 100 times and tail appears 50 times. If the coin is tossed again, what is the probability of getting a head?

(i)

4
5
(ii)

5
6
(iii)

3
4
(iv)

2
3
(v)

1
2

Question 2

2.

A coin is tossed 80 times and head appears 35 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

10
17
(ii)

5
8
(iii)

1
2
(iv)

7
16
(v)

9
16

Question 3

3.

Two coins are tossed simultaneously 60 times and it was observed that both heads appeared 45 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

1
(ii)

4
5
(iii)

1
2
(iv)

3
4
(v)

1
4

Question 4

4.

Two coins are tossed simultaneously 150 times and it was observed that both tails appeared 55 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

12
31
(ii)

11
30
(iii)

2
5
(iv)

19
30
(v)

1
3

Question 5

5.

A die is thrown 130 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)

3
7
(ii)

8
13
(iii)

5
13
(iv)

4
13
(v)

6
13

Question 6

6.

A survey of 130 men showed that only 75 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)

15
26
(ii)

11
26
(iii)

16
27
(iv)

8
13
(v)

7
13

Question 7

7.

On a particular day, at a crossing in a city, the various types of 180 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Two-wheeler

Four-wheeler

Three-wheeler

Frequency

50

55

75

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

(i)

1
3
(ii)

6
19
(iii)

5
18
(iv)

2
9
(v)

13
18

Question 8

8.

The following table shows the blood-groups of 306 students of a class.

Blood group

A

B

AB

O

Number of students

54

63

90

99

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

(i)

2
9
(ii)

14
17
(iii)

4
17
(iv)

3
17
(v)

2
17

Question 9

9.

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

(i)

5
6
(ii)

4
5
(iii)

2
3
(iv)

3
4
(v)

1
2

Question 10

10.

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

(i)

2
3
(ii)

1
2
(iii)

5
6
(iv)

4
5
(v)

3
4

Question 11

11.

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

(i)

1
(ii)

1
4
(iii)

3
4
(iv)

4
5
(v)

1
2

Question 12

12.

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

(i)

3
4
(ii)

2
5
(iii)

0
(iv)

1
4
(v)

1
2

Question 13

13.

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

(i)

1
4
(ii)

3
4
(iii)

1
(iv)

1
2
(v)

4
5

Question 14

14.

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

(i)

3
4
(ii)

0
(iii)

2
5
(iv)

1
4
(v)

1
2

Question 15

15.

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

(i)

1
4
(ii)

1
2
(iii)

5
8
(iv)

3
8
(v)

4
9

Question 16

16.

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 17

17.

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

(i)

3
4
(ii)

4
5
(iii)

5
6
(iv)

2
3
(v)

1
2

Question 18

18.

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

(i)

2
3
(ii)

1
2
(iii)

4
5
(iv)

3
4
(v)

5
6

Question 19

19.

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

(i)

2
9
(ii)

0
(iii)

1
4
(iv)

1
8
(v)

7
8

Question 20

20.

What is the probability of a sure event?

(i)

1
(ii)

3
4
(iii)

0
(iv)

1
2
(v)

1
4

Question 21

21.

What is the probability of an impossible event?

(i)

1
(ii)

0
(iii)

3
4
(iv)

1
2
(v)

1
4

Question 22

22.

There are 74 students in a class room of whom 38 are boys and 36 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?

(i)

19
37
(ii)

20
37
(iii)

18
37
(iv)

10
19

Question 23

23.

There are 62 students in a class room of whom 28 are boys and 34 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

16
31
(ii)

18
31
(iii)

14
31
(iv)

17
31
(v)

9
16

Question 24

24.

Which of the following are true?

a)	The probability of an event that is very likely to happen is 1
b)	If the probability of failing the exam is 0.56, the probability of passing the exam is 0.44
c)	Probability of getting 110 marks out of 100 is 1.1
d)	The probability of an event that cannot happen is unknown
e)	If the probability is too less, it will become negative

(i)

{b}
(ii)

{a,b}
(iii)

{d,e,b}
(iv)

{c,b}

Question 25

25.

Which of the following experiments have equally likely outcomes?

a)	A ball is hit. It reaches the boundary or not
b)	A man throws a die. The number on the top is either 4 or not 4
c)	A man starts his vehicle. It starts or it does not starts
d)	A true/false question is attempted. The answer is either right or wrong
e)	A baby is born. It is a boy or girl

(i)

{d,e}
(ii)

{a,d}
(iii)

{b,e}
(iv)

{c,a,d}
(v)

{b,e,d}

Question 26

26.

Which of the following are possible values of probability?

a)

-5.5

b)

7

2

c)

2

9

d)

5

e)

0.62

(i)

{d,a,c}
(ii)

{b,e}
(iii)

{b,e,c}
(iv)

{a,c}
(v)

{c,e}

Question 27

27.

If P(E) =
0.75
, find P(
E
)

(i)

8.25
(ii)

0.25
(iii)

1.25
(iv)

7.25
(v)

2.25

Question 28

28.

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)

{c,d}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{b,d}
(v)

{c,d,b}

Question 29

29.

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(not E) = 0

e)

P(E) - P(
E
) = 0

(i)

{b,c}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{d,c}
(v)

{d,c,b}

Question 30

30.

A die is thrown 400 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)

4
25
(ii)

34
201
(iii)

33
200
(iv)

167
200
(v)

17
100

Question 31

31.

216 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

81

90

Compute the probability of the family, chosen at random, having 1 girl.

(i)

3
8
(ii)

1
4
(iii)

5
8
(iv)

1
2
(v)

4
9

Question 32

32.

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

45

55

70

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

(i)

13
20
(ii)

3
10
(iii)

2
5
(iv)

8
21
(v)

7
20

Question 33

33.

A die is thrown 395 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

55

60

65

75

100

If the die is thrown again randomly, find the probability of getting 1 as outcome.

(i)

9
79
(ii)

71
79
(iii)

9
80
(iv)

8
79
(v)

7
79

Question 34

34.

The distances (in km) of engineers from their residence to their place of work were found as follows

1

7

28

15

10

21

10

16

What is the empirical probability that an engineer lives less than 21 km from her place of work?

(i)

1
2
(ii)

1
4
(iii)

1
(iv)

4
5
(v)

3
4

Question 35

35.

The distances (in km) of engineers from their residence to their place of work were found as follows

25

19

7

29

7

8

12

19

What is the empirical probability that an engineer lives greater than 12 km from her place of work?

(i)

5
6
(ii)

2
3
(iii)

4
5
(iv)

1
2
(v)

3
4

Question 36

36.

Suppose a die is thrown on a rectangular region as shown below. What is the probability that it will land inside the circle of diameter 16.00 cm?

(i)

559
735
(ii)

177
736
(iii)

59
245
(iv)

5
21
(v)

176
735

Assignment Key