EduSahara™ Worksheet

Question 1

1.

A coin is tossed 80 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?

(i)

12
17
(ii)

3
4
(iii)

5
8
(iv)

5
16
(v)

11
16

Question 2

2.

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

(i)

2
3
(ii)

5
6
(iii)

4
5
(iv)

3
4
(v)

1
2

Question 3

3.

Two coins are tossed simultaneously 70 times and it was observed that both heads appeared 65 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

6
7
(ii)

1
(iii)

1
14
(iv)

14
15
(v)

13
14

Question 4

4.

Two coins are tossed simultaneously 100 times and it was observed that both tails appeared 60 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

3
5
(ii)

2
5
(iii)

2
3
(iv)

4
5

Question 5

5.

A die is thrown 110 times. Prime numbers appeared on the upper face 100 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

1
(ii)

9
11
(iii)

10
11
(iv)

1
11
(v)

11
12

Question 6

6.

A survey of 40 men showed that only 35 of them know German. Out of these men, if one is selected at random, what is the probability that the selected man knows German?

(i)

8
9
(ii)

1
8
(iii)

1
(iv)

3
4
(v)

7
8

Question 7

7.

On a particular day, at a crossing in a city, the various types of 130 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Four-wheeler

Three-wheeler

Two-wheeler

Frequency

35

40

55

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

(i)

9
13
(ii)

3
13
(iii)

4
13
(iv)

5
14
(v)

5
13

Question 8

8.

The following table shows the blood-groups of 396 students of a class.

Blood group

A

B

AB

O

Number of students

54

72

108

162

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

(i)

19
22
(ii)

1
11
(iii)

2
11
(iv)

3
22
(v)

4
23

Question 9

9.

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 boy ?

(i)

14
31
(ii)

15
31
(iii)

15
32
(iv)

13
31
(v)

17
31

Question 10

10.

There are 76 students in a class room of whom 38 are boys and 38 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

3
4
(ii)

4
5
(iii)

5
6
(iv)

2
3
(v)

1
2

Question 11

11.

In a lottery, there are 15 prizes and 17 blanks. What is the probability of getting a prize?

(i)

15
32
(ii)

7
16
(iii)

16
33
(iv)

17
32
(v)

1
2

Question 12

12.

In a lottery, there are 28 prizes and 13 blanks. What is the probability of not getting a prize?

(i)

13
41
(ii)

1
3
(iii)

12
41
(iv)

28
41
(v)

14
41

Question 13

13.

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 3 or not 3
c)	A man starts his vehicle. It starts or it does not starts
d)	A baby is born. It is a boy or girl
e)	A ball is hit. It reaches the boundary or not

(i)

{e,b,a}
(ii)

{c,d,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{b,a}

Question 14

14.

Which of the following are possible values of probability?

a)

0.57

b)

5

8

c)

-5.3

d)

2

e)

4

1

(i)

{a,b}
(ii)

{e,c,a}
(iii)

{d,b,a}
(iv)

{c,a}
(v)

{d,b}

Question 15

15.

If P(E) =
0.83
, find P(
E
)

(i)

0.17
(ii)

2.17
(iii)

8.17
(iv)

7.17
(v)

1.17

Question 16

16.

Which of the following are true?

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

(i)

{d,e}
(ii)

{a,d}
(iii)

{b,e,d}
(iv)

{b,e}
(v)

{c,a,d}

Question 17

17.

Which of the following are true?

a)

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

b)

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

c)

P(E) - P(
E
) = 0

d)

P(E) = 1 - P(
E
)

e)

P(E) + P(
E
) = 0

(i)

{c,d}
(ii)

{a,b}
(iii)

{c,d,b}
(iv)

{b,d}
(v)

{e,a,b}

Question 18

18.

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

(i)

34
101
(ii)

17
50
(iii)

33
100
(iv)

8
25
(v)

67
100

Question 19

19.

A die is thrown 580 times. The number 1 appears on the upper face 92 times. Now the die is thrown at random. What is the probability of getting a 1 ?

(i)

24
145
(ii)

22
145
(iii)

122
145
(iv)

23
145
(v)

12
73

Question 20

20.

234 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

90

99

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

(i)

6
13
(ii)

3
7
(iii)

4
13
(iv)

8
13
(v)

5
13

Question 21

21.

Three coins are tossed simultaneously 205 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

40

65

70

If the three coins are simultaneously tossed again, compute the probability of '1 heads' coming up.

(i)

1
3
(ii)

14
41
(iii)

28
41
(iv)

13
41
(v)

12
41

Question 22

22.

A die is thrown 325 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

30

35

50

55

65

90

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

(i)

19
66
(ii)

47
65
(iii)

19
65
(iv)

18
65
(v)

17
65

Question 23

23.

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

5

28

16

26

2

23

23

14

22

What is the empirical probability that an engineer lives less than 23 km from her place of work?

(i)

5
9
(ii)

3
5
(iii)

2
3
(iv)

4
9

Question 24

24.

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

14

21

5

27

30

25

17

6

10

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

(i)

2
3
(ii)

1
3
(iii)

1
2
(iv)

0

Assignment Key