EduSahara™ Worksheet

Question 1

1.

A coin is tossed 50 times and tail appears 40 times. If the coin is tossed again, what is the probability of getting a head?

(i)

1
5
(ii)

0
(iii)

4
5
(iv)

2
5
(v)

1
3

Question 2

2.

A coin is tossed 100 times and head appears 85 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

3
20
(ii)

1
10
(iii)

1
5
(iv)

4
21
(v)

17
20

Question 3

3.

Two coins are tossed simultaneously 60 times and it was observed that both heads appeared 50 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

5
6
(ii)

2
3
(iii)

6
7
(iv)

1
6
(v)

1

Question 4

4.

Two coins are tossed simultaneously 80 times and it was observed that both tails appeared 25 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

3
8
(ii)

1
4
(iii)

11
16
(iv)

6
17
(v)

5
16

Question 5

5.

A die is thrown 120 times. Prime numbers appeared on the upper face 40 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

1
3
(ii)

2
3
(iii)

1
2
(iv)

0

Question 6

6.

A survey of 90 men showed that only 20 of them know Urdu. Out of these men, if one is selected at random, what is the probability that the selected man knows Urdu?

(i)

1
9
(ii)

1
3
(iii)

2
9
(iv)

3
10
(v)

7
9

Question 7

7.

On a particular day, at a crossing in a city, the various types of 125 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Three-wheeler

Two-wheeler

Four-wheeler

Frequency

25

45

55

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

(i)

2
5
(ii)

14
25
(iii)

11
25
(iv)

6
13
(v)

12
25

Question 8

8.

The following table shows the blood-groups of 333 students of a class.

Blood group

B

AB

A

O

Number of students

54

63

81

135

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

(i)

7
37
(ii)

4
19
(iii)

8
37
(iv)

6
37
(v)

30
37

Question 9

9.

A die is thrown 580 times. The number 3 appears on the upper face 92 times. Now the die is thrown at random. What is the probability of getting a 3 ?

(i)

24
145
(ii)

22
145
(iii)

122
145
(iv)

12
73
(v)

23
145

Question 10

10.

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

54

81

99

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

(i)

10
13
(ii)

2
7
(iii)

2
13
(iv)

4
13
(v)

3
13

Question 11

11.

Three coins are tossed simultaneously 155 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

35

40

50

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

(i)

7
31
(ii)

6
31
(iii)

24
31
(iv)

8
31
(v)

1
4

Question 12

12.

A die is thrown 295 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

45

50

55

80

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

(i)

6
59
(ii)

53
59
(iii)

5
59
(iv)

7
60
(v)

7
59

Question 13

13.

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

12

12

23

17

25

7

13

20

1

What is the empirical probability that an engineer lives less than 7 km from her place of work?

(i)

2
9
(ii)

8
9
(iii)

1
5
(iv)

1
9
(v)

0

Question 14

14.

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

28

8

8

29

7

13

25

3

29

22

27

15

16

23

What is the empirical probability that an engineer lives greater than 8 km from her place of work?

(i)

4
7
(ii)

6
7
(iii)

5
7
(iv)

2
7
(v)

3
4

Assignment Key