EduSahara™ Worksheet

Question 1

1.

A survey of 140 men showed that only 90 of them know Hindi. Out of these men, if one is selected at random, what is the probability that the selected man knows Hindi?

(i)

9
14
(ii)

5
14
(iii)

2
3
(iv)

5
7
(v)

4
7

Question 2

2.

On a particular day, at a crossing in a city, the various types of 110 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Two-wheeler

Four-wheeler

Three-wheeler

Frequency

30

35

45

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

(i)

13
22
(ii)

9
22
(iii)

10
23
(iv)

5
11
(v)

4
11

Question 3

3.

The following table shows the blood-groups of 486 students of a class.

Blood group

AB

B

A

O

Number of students

72

90

135

189

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

(i)

5
28
(ii)

1
9
(iii)

4
27
(iv)

23
27
(v)

5
27

Question 4

4.

A bag contains 30 gray balls, 20 pink balls, 24 red balls and 16 orange balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is pink.

(i)

1
3
(ii)

3
10
(iii)

2
9
(iv)

7
9
(v)

1
9

Question 5

5.

A bag contains 28 orange balls, 24 gray balls, 10 white balls and 14 yellow balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not yellow.

(i)

32
39
(ii)

31
38
(iii)

15
19
(iv)

16
19
(v)

7
38

Question 6

6.

A box contains 9 black marbles, 3 gray marbles, 30 blue marbles and 24 pink marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is blue or black.

(i)

9
22
(ii)

14
23
(iii)

6
11
(iv)

7
11
(v)

13
22

Question 7

7.

A bag contains 24 black marbles, 20 red marbles, 30 orange marbles and 6 yellow marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is neither orange nor red.

(i)

5
8
(ii)

4
9
(iii)

1
2
(iv)

3
8
(v)

1
4

Question 8

8.

There are 66 students in a class room of whom 36 are boys and 30 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?

(i)

7
12
(ii)

5
11
(iii)

7
11
(iv)

6
11

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)

14
29
(ii)

15
29
(iii)

1
2
(iv)

13
29

Question 10

10.

In a lottery, there are 21 prizes and 20 blanks. What is the probability of getting a prize?

(i)

11
21
(ii)

20
41
(iii)

22
41
(iv)

21
41

Question 11

11.

In a lottery, there are 24 prizes and 19 blanks. What is the probability of not getting a prize?

(i)

20
43
(ii)

18
43
(iii)

24
43
(iv)

19
43
(v)

5
11

Question 12

12.

Two players Aruna and Deeksha play a tennis match. It is known that the probability of Aruna winning the match is 0.75. What is the probability of Deeksha winning the match?

(i)

3
4
(ii)

0
(iii)

2
5
(iv)

1
4
(v)

1
2

Question 13

13.

198 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

81

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

(i)

5
22
(ii)

6
23
(iii)

2
11
(iv)

3
11
(v)

17
22

Question 14

14.

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

40

65

70

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

(i)

29
42
(ii)

13
42
(iii)

2
7
(iv)

1
3
(v)

14
43

Question 15

15.

A die is thrown 380 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

45

60

65

85

100

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

(i)

16
19
(ii)

2
19
(iii)

4
19
(iv)

3
19
(v)

1
5

Question 16

16.

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

20

9

15

16

19

29

17

5

13

8

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

(i)

0
(ii)

9
10
(iii)

2
11
(iv)

1
5
(v)

1
10

Question 17

17.

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

21

16

27

7

19

2

11

4

29

22

28

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

(i)

0
(ii)

3
4
(iii)

1
(iv)

1
4
(v)

1
2

Question 18

18.

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

(i)

1
365
(ii)

1
(iii)

365
366
(iv)

363
365
(v)

364
365

Question 19

19.

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

(i)

0
(ii)

2
365
(iii)

364
365
(iv)

1
365
(v)

1
183

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)

1
4
(iii)

2
5
(iv)

1
2
(v)

0

Question 21

21.

A carton consist of 91 shirts of which 75 are good, 13 have minor defects and 3 have major defects. Kumar, a trader, will only accept the shirts which are good, but Bhavani, 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 Kumar?

(i)

75
91
(ii)

19
23
(iii)

16
91
(iv)

74
91
(v)

76
91

Question 22

22.

A carton consist of 78 shirts of which 67 are good, 9 have minor defects and 2 have major defects. Kaushik, a trader, will only accept the shirts which are good, but Manisha, 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 Manisha?

(i)

37
39
(ii)

1
39
(iii)

1
(iv)

38
39
(v)

39
40

Question 23

23.

A lot of 24 bulbs contain 8 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

1
3
(ii)

2
3
(iii)

0
(iv)

1
2

Question 24

24.

A lot of 40 bulbs contain 13 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)

1
(ii)

2
3
(iii)

3
4
(iv)

1
3

Question 25

25.

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 two-digit number.

(i)

4
5
(ii)

1
(iii)

1
10
(iv)

10
11
(v)

9
10

Question 26

26.

A box contains 30 discs which are numbered from 1 to 30. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

(i)

1
6
(ii)

5
6
(iii)

0
(iv)

1
3
(v)

2
7

Question 27

27.

A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

(i)

1
5
(ii)

0
(iii)

2
5
(iv)

4
5
(v)

1
3

Question 28

28.

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

(i)

1
4
(ii)

3
4
(iii)

1
2
(iv)

4
5
(v)

1

Question 29

29.

73 cards are numbered 1,2,3,....73 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)

36
73
(ii)

38
73
(iii)

37
73
(iv)

19
37

Question 30

30.

71 cards are numbered 1,2,3,....71 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)

21
71
(ii)

51
71
(iii)

7
24
(iv)

20
71
(v)

19
71

Question 31

31.

63 cards are numbered 1,2,3,....63 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)

1
7
(ii)

5
22
(iii)

4
21
(iv)

17
21
(v)

5
21

Question 32

32.

83 cards are numbered 1,2,3,....83 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 24?

(i)

60
83
(ii)

2
7
(iii)

22
83
(iv)

23
83
(v)

24
83

Question 33

33.

96 cards are numbered 1,2,3,....96 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 29?

(i)

68
97
(ii)

67
96
(iii)

11
16
(iv)

17
24
(v)

29
96

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 14.00 cm?

(i)

78
191
(ii)

113
190
(iii)

77
190
(iv)

39
95
(v)

2
5

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)

3
4
(ii)

0
(iii)

1
2
(iv)

2
5
(v)

1
4

Assignment Key