EduSahara™ Worksheet

Question 1

1.

A survey of 140 men showed that only 75 of them know Sanskrit. Out of these men, if one is selected at random, what is the probability that the selected man knows Sanskrit?

(i)

15
28
(ii)

1
2
(iii)

13
28
(iv)

16
29
(v)

4
7

Question 2

2.

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

Two-wheeler

Three-wheeler

Four-wheeler

Frequency

35

40

50

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

(i)

7
25
(ii)

8
25
(iii)

18
25
(iv)

6
25
(v)

4
13

Question 3

3.

The following table shows the blood-groups of 279 students of a class.

Blood group

O

AB

B

A

Number of students

54

63

72

90

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

(i)

11
31
(ii)

21
31
(iii)

9
31
(iv)

10
31
(v)

11
32

Question 4

4.

A bag contains 18 black marbles, 27 pink marbles, 36 white marbles and 39 yellow marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is black.

(i)

1
5
(ii)

3
20
(iii)

1
10
(iv)

17
20
(v)

4
21

Question 5

5.

A box contains 33 gray marbles, 3 blue marbles, 18 yellow marbles and 15 white marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is not yellow.

(i)

3
4
(ii)

18
23
(iii)

17
23
(iv)

16
23
(v)

6
23

Question 6

6.

A bag contains 10 gray marbles, 65 pink marbles, 75 red marbles and 20 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is gray or pink.

(i)

7
17
(ii)

19
34
(iii)

16
35
(iv)

15
34
(v)

8
17

Question 7

7.

A box contains 42 gray marbles, 12 blue marbles, 24 pink marbles and 39 orange marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is neither pink nor blue.

(i)

10
13
(ii)

9
13
(iii)

5
7
(iv)

8
13
(v)

4
13

Question 8

8.

There are 66 students in a class room of whom 26 are boys and 40 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?

(i)

4
11
(ii)

7
17
(iii)

13
33
(iv)

20
33
(v)

14
33

Question 9

9.

There are 58 students in a class room of whom 30 are boys and 28 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

15
29
(ii)

14
29
(iii)

1
2
(iv)

13
29

Question 10

10.

In a lottery, there are 18 prizes and 19 blanks. What is the probability of getting a prize?

(i)

18
37
(ii)

19
37
(iii)

1
2
(iv)

17
37

Question 11

11.

In a lottery, there are 18 prizes and 16 blanks. What is the probability of not getting a prize?

(i)

1
2
(ii)

9
17
(iii)

7
17
(iv)

8
17

Question 12

12.

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

(i)

34
101
(ii)

33
100
(iii)

17
50
(iv)

8
25
(v)

67
100

Question 13

13.

225 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

72

108

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

(i)

0
(ii)

1
3
(iii)

4
5
(iv)

2
5
(v)

1
5

Question 14

14.

Three coins are tossed simultaneously 330 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

65

80

90

95

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

(i)

10
33
(ii)

19
66
(iii)

3
11
(iv)

47
66
(v)

20
67

Question 15

15.

A die is thrown 350 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

30

50

70

85

90

If the die is thrown again randomly, find the probability of getting 3 as outcome.

(i)

6
7
(ii)

0
(iii)

1
4
(iv)

2
7
(v)

1
7

Question 16

16.

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

2

14

12

22

7

20

18

23

22

What is the empirical probability that an engineer lives less than 2 km from her place of work?

(i)

1
(ii)

3
4
(iii)

0
(iv)

1
4
(v)

1
2

Question 17

17.

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

14

17

4

11

13

29

29

10

30

11

2

18

30

3

23

What is the empirical probability that an engineer lives greater than 30 km from her place of work?

(i)

0
(ii)

3
4
(iii)

1
2
(iv)

1
(v)

1
4

Question 18

18.

Maya and Revathi are friends. What is the probability that both will have different birthdays? (ignoring a leap year).

(i)

1
365
(ii)

1
(iii)

364
365
(iv)

365
366
(v)

363
365

Question 19

19.

Flavia and Jasmine are friends. What is the probability that both will have same birthdays? (ignoring a leap year).

(i)

0
(ii)

1
183
(iii)

364
365
(iv)

2
365
(v)

1
365

Question 20

20.

In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?

(i)

3
4
(ii)

0
(iii)

2
5
(iv)

1
4
(v)

1
2

Question 21

21.

A carton consist of 71 shirts of which 57 are good, 12 have minor defects and 2 have major defects. Mahender, a trader, will only accept the shirts which are good, but Rajini, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Mahender?

(i)

14
71
(ii)

58
71
(iii)

29
36
(iv)

57
71
(v)

56
71

Question 22

22.

A carton consist of 81 shirts of which 65 are good, 14 have minor defects and 2 have major defects. Krishna, a trader, will only accept the shirts which are good, but Karishma, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that it is acceptable to Karishma?

(i)

40
41
(ii)

80
81
(iii)

2
81
(iv)

79
81
(v)

26
27

Question 23

23.

A lot of 22 bulbs contain 9 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

9
22
(ii)

5
11
(iii)

10
23
(iv)

4
11
(v)

13
22

Question 24

24.

A lot of 27 bulbs contain 18 defective ones. One bulb is drawn at random from the lot. Suppose the bulb drawn is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?

(i)

4
13
(ii)

5
13
(iii)

5
14
(iv)

3
13
(v)

9
13

Question 25

25.

A box contains 40 discs which are numbered from 1 to 40. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.

(i)

4
5
(ii)

3
4
(iii)

9
40
(iv)

31
40
(v)

32
41

Question 26

26.

A box contains 20 discs which are numbered from 1 to 20. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

(i)

1
5
(ii)

1
3
(iii)

0
(iv)

4
5
(v)

2
5

Question 27

27.

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

(i)

0
(ii)

1
3
(iii)

1
5
(iv)

2
5
(v)

4
5

Question 28

28.

A game consists of tossing a coin 3 times and noting its outcome each time. Gowtham wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Gowtham will lose the game.

(i)

4
5
(ii)

1
(iii)

1
2
(iv)

3
4
(v)

1
4

Question 29

29.

93 cards are numbered 1,2,3,....93 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is an odd number?

(i)

24
47
(ii)

47
93
(iii)

16
31
(iv)

46
93

Question 30

30.

84 cards are numbered 1,2,3,....84 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is a prime number?

(i)

61
84
(ii)

24
85
(iii)

23
84
(iv)

11
42
(v)

2
7

Question 31

31.

59 cards are numbered 1,2,3,....59 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is divisible by 5?

(i)

48
59
(ii)

12
59
(iii)

1
5
(iv)

10
59
(v)

11
59

Question 32

32.

86 cards are numbered 1,2,3,....86 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is less then 21?

(i)

1
4
(ii)

33
43
(iii)

10
43
(iv)

11
43
(v)

9
43

Question 33

33.

75 cards are numbered 1,2,3,....75 and put in a box and mixed thoroughly. A card is drawn at random. What is the probability that the number on the drawn card is greater then 11?

(i)

65
76
(ii)

11
75
(iii)

21
25
(iv)

13
15
(v)

64
75

Question 34

34.

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 20.00 cm?

(i)

233
343
(ii)

109
343
(iii)

111
344
(iv)

111
343
(v)

110
343

Question 35

35.

A missing helicopter is reported to have crashed somewhere in the rectangular region shown in fig. What is the probability that it crashed inside the shaded region as shown in the figure?

(i)

2
5
(ii)

3
4
(iii)

1
4
(iv)

1
2
(v)

0

Assignment Key