EduSahara™ Worksheet

Question 1

1.

A coin is tossed 60 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?

(i)

5
12
(ii)

1
2
(iii)

8
13
(iv)

2
3
(v)

7
12

Question 2

2.

A coin is tossed 80 times and head appears 65 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

1
8
(ii)

1
4
(iii)

4
17
(iv)

13
16
(v)

3
16

Question 3

3.

Two coins are tossed simultaneously 60 times and it was observed that both heads appeared 20 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

0
(ii)

2
3
(iii)

1
3
(iv)

1
2

Question 4

4.

Two coins are tossed simultaneously 110 times and it was observed that both tails appeared 75 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

8
11
(ii)

16
23
(iii)

7
22
(iv)

7
11
(v)

15
22

Question 5

5.

A die is thrown 100 times. Prime numbers appeared on the upper face 20 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

4
5
(ii)

2
5
(iii)

1
5
(iv)

0
(v)

1
3

Question 6

6.

A survey of 100 men showed that only 90 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)

4
5
(ii)

1
10
(iii)

10
11
(iv)

1
(v)

9
10

Question 7

7.

On a particular day, at a crossing in a city, the various types of 175 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Three-wheeler

Two-wheeler

Four-wheeler

Frequency

50

60

65

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

(i)

12
35
(ii)

13
35
(iii)

11
35
(iv)

23
35
(v)

13
36

Question 8

8.

The following table shows the blood-groups of 234 students of a class.

Blood group

O

A

AB

B

Number of students

45

54

63

72

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

(i)

2
13
(ii)

2
7
(iii)

10
13
(iv)

3
13
(v)

4
13

Question 9

9.

A die is thrown 450 times. The number 4 appears on the upper face 60 times. Now the die is thrown at random. What is the probability of getting a 4 ?

(i)

1
5
(ii)

3
16
(iii)

13
15
(iv)

1
15
(v)

2
15

Question 10

10.

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

54

81

126

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

(i)

20
29
(ii)

8
29
(iii)

1
3
(iv)

10
29
(v)

9
29

Question 11

11.

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

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

40

45

50

65

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

(i)

9
40
(ii)

31
40
(iii)

1
4
(iv)

1
5
(v)

10
41

Question 12

12.

A die is thrown 300 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

25

35

45

55

60

80

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

(i)

8
61
(ii)

1
10
(iii)

2
15
(iv)

7
60
(v)

53
60

Question 13

13.

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

15

19

29

14

11

22

12

16

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

(i)

2
9
(ii)

7
8
(iii)

0
(iv)

1
8
(v)

1
4

Question 14

14.

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

9

20

21

29

24

15

15

26

What is the empirical probability that an engineer lives greater than 9 km from her place of work?

(i)

1
(ii)

1
8
(iii)

8
9
(iv)

3
4
(v)

7
8

Assignment Key