EduSahara™ Worksheet

Question 1

1.

A coin is tossed 40 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?

(i)

1
2
(ii)

3
8
(iii)

1
4
(iv)

4
9
(v)

5
8

Question 2

2.

A coin is tossed 90 times and head appears 50 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

4
9
(ii)

5
9
(iii)

1
3
(iv)

1
2

Question 3

3.

Two coins are tossed simultaneously 110 times and it was observed that both heads appeared 30 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

4
11
(ii)

1
3
(iii)

2
11
(iv)

8
11
(v)

3
11

Question 4

4.

Two coins are tossed simultaneously 50 times and it was observed that both tails appeared 30 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

4
5
(ii)

2
3
(iii)

3
5
(iv)

2
5

Question 5

5.

A die is thrown 70 times. Prime numbers appeared on the upper face 55 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

5
7
(ii)

11
14
(iii)

4
5
(iv)

3
14
(v)

6
7

Question 6

6.

A survey of 40 men showed that only 20 of them know Spanish. Out of these men, if one is selected at random, what is the probability that the selected man knows Spanish?

(i)

3
4
(ii)

2
3
(iii)

5
6
(iv)

4
5
(v)

1
2

Question 7

7.

On a particular day, at a crossing in a city, the various types of 145 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Three-wheeler

Four-wheeler

Two-wheeler

Frequency

30

55

60

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

(i)

11
29
(ii)

17
29
(iii)

12
29
(iv)

13
29
(v)

13
30

Question 8

8.

The following table shows the blood-groups of 261 students of a class.

Blood group

A

AB

B

O

Number of students

45

54

63

99

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

(i)

4
29
(ii)

5
29
(iii)

6
29
(iv)

24
29
(v)

1
5

Question 9

9.

A die is thrown 530 times. The number 3 appears on the upper face 84 times. Now the die is thrown at random. What is the probability of getting a 3 ?

(i)

223
265
(ii)

41
265
(iii)

43
265
(iv)

42
265
(v)

43
266

Question 10

10.

252 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

54

90

108

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

(i)

3
14
(ii)

1
7
(iii)

2
7
(iv)

11
14
(v)

4
15

Question 11

11.

Three coins are tossed simultaneously 210 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

35

50

60

65

If the three coins are simultaneously tossed again, compute the probability of '2 heads' coming up.

(i)

16
21
(ii)

3
11
(iii)

5
21
(iv)

4
21
(v)

2
7

Question 12

12.

A die is thrown 420 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

45

65

70

75

80

85

If the die is thrown again randomly, find the probability of getting 2 as outcome.

(i)

13
84
(ii)

1
7
(iii)

1
6
(iv)

71
84
(v)

14
85

Question 13

13.

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

16

29

15

15

20

12

29

17

3

What is the empirical probability that an engineer lives less than 29 km from her place of work?

(i)

8
9
(ii)

2
9
(iii)

7
9
(iv)

2
3
(v)

4
5

Question 14

14.

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

27

3

29

27

19

10

14

7

26

15

18

16

What is the empirical probability that an engineer lives greater than 14 km from her place of work?

(i)

1
(ii)

2
3
(iii)

3
4
(iv)

1
3

Assignment Key