EduSahara™ Worksheet

Question 1

1.

A survey of 70 men showed that only 60 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)

1
7
(ii)

6
7
(iii)

5
7
(iv)

7
8
(v)

1

Question 2

2.

On a particular day, at a crossing in a city, the various types of 120 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Four-wheeler

Two-wheeler

Three-wheeler

Frequency

25

35

60

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

(i)

6
25
(ii)

5
24
(iii)

19
24
(iv)

1
6
(v)

1
4

Question 3

3.

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

Blood group

AB

A

B

O

Number of students

54

63

72

144

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

(i)

7
37
(ii)

30
37
(iii)

4
19
(iv)

6
37
(v)

8
37

Question 4

4.

A box contains 5 pink marbles, 40 white marbles, 30 blue marbles and 20 black marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is blue.

(i)

13
19
(ii)

7
20
(iii)

6
19
(iv)

5
19
(v)

7
19

Question 5

5.

A bag contains 6 gray balls, 27 blue balls, 36 white balls and 24 red balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is not blue.

(i)

9
31
(ii)

23
31
(iii)

22
31
(iv)

23
32
(v)

21
31

Question 6

6.

A bag contains 21 blue marbles, 9 pink marbles, 36 black marbles and 39 orange marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is orange or blue.

(i)

5
8
(ii)

4
7
(iii)

3
7
(iv)

5
7

Question 7

7.

A bag contains 10 gray balls, 6 red balls, 22 white balls and 26 yellow balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is neither white nor gray.

(i)

4
5
(ii)

2
3
(iii)

5
6
(iv)

3
4
(v)

1
2

Question 8

8.

There are 72 students in a class room of whom 36 are boys and 36 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?

(i)

5
6
(ii)

4
5
(iii)

1
2
(iv)

2
3
(v)

3
4

Question 9

9.

There are 54 students in a class room of whom 28 are boys and 26 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

13
27
(ii)

1
2
(iii)

4
9
(iv)

14
27

Question 10

10.

In a lottery, there are 28 prizes and 15 blanks. What is the probability of getting a prize?

(i)

28
43
(ii)

27
43
(iii)

29
43
(iv)

29
44
(v)

15
43

Question 11

11.

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

(i)

4
5
(ii)

5
6
(iii)

1
2
(iv)

3
4
(v)

2
3

Question 12

12.

Two players Harini and Pooja play a tennis match. It is known that the probability of Harini winning the match is 0.71. What is the probability of Pooja winning the match?

(i)

29
100
(ii)

3
10
(iii)

7
25
(iv)

71
100
(v)

30
101

Question 13

13.

189 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

63

81

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

(i)

16
21
(ii)

4
21
(iii)

2
7
(iv)

5
21
(v)

3
11

Question 14

14.

Three coins are tossed simultaneously 230 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

35

50

70

75

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

(i)

5
23
(ii)

18
23
(iii)

6
23
(iv)

4
23
(v)

1
4

Question 15

15.

A die is thrown 330 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

45

65

75

90

If the die is thrown again randomly, find the probability of getting 5 as outcome.

(i)

3
11
(ii)

17
22
(iii)

2
11
(iv)

5
22
(v)

6
23

Question 16

16.

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

17

1

1

23

11

10

7

11

1

19

12

4

What is the empirical probability that an engineer lives less than 1 km from her place of work?

(i)

0
(ii)

3
4
(iii)

1
2
(iv)

1
(v)

1
4

Question 17

17.

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

15

22

24

27

20

2

14

22

5

What is the empirical probability that an engineer lives greater than 20 km from her place of work?

(i)

4
9
(ii)

1
2
(iii)

5
9
(iv)

1
3

Question 18

18.

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

(i)

1
365
(ii)

365
366
(iii)

1
(iv)

363
365
(v)

364
365

Question 19

19.

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

(i)

1
183
(ii)

2
365
(iii)

0
(iv)

1
365
(v)

364
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)

1
4
(iii)

1
2
(iv)

0
(v)

2
5

Question 21

21.

A carton consist of 91 shirts of which 77 are good, 11 have minor defects and 3 have major defects. Salman, a trader, will only accept the shirts which are good, but Ankitha, 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 Salman?

(i)

11
13
(ii)

10
13
(iii)

6
7
(iv)

2
13
(v)

12
13

Question 22

22.

A carton consist of 107 shirts of which 89 are good, 15 have minor defects and 3 have major defects. Kiran, a trader, will only accept the shirts which are good, but Deepti, 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 Deepti?

(i)

3
107
(ii)

104
107
(iii)

35
36
(iv)

105
107
(v)

103
107

Question 23

23.

A lot of 22 bulbs contain 8 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

5
11
(ii)

7
11
(iii)

5
12
(iv)

4
11
(v)

3
11

Question 24

24.

A lot of 38 bulbs contain 6 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)

32
37
(ii)

31
37
(iii)

6
37
(iv)

30
37
(v)

16
19

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)

9
10
(ii)

1
(iii)

10
11
(iv)

4
5
(v)

1
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
3
(ii)

1
6
(iii)

0
(iv)

2
7
(v)

5
6

Question 27

27.

A box contains 80 discs which are numbered from 1 to 80. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

(i)

1
3
(ii)

0
(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. Chandan wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Chandan will lose the game.

(i)

4
5
(ii)

3
4
(iii)

1
4
(iv)

1
(v)

1
2

Question 29

29.

87 cards are numbered 1,2,3,....87 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)

43
87
(ii)

15
29
(iii)

44
87
(iv)

45
88

Question 30

30.

89 cards are numbered 1,2,3,....89 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)

24
89
(ii)

5
18
(iii)

25
89
(iv)

23
89
(v)

65
89

Question 31

31.

53 cards are numbered 1,2,3,....53 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)

11
54
(ii)

9
53
(iii)

11
53
(iv)

43
53
(v)

10
53

Question 32

32.

61 cards are numbered 1,2,3,....61 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 20?

(i)

18
61
(ii)

42
61
(iii)

20
61
(iv)

19
61
(v)

10
31

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 30?

(i)

5
8
(ii)

11
16
(iii)

5
16
(iv)

3
4
(v)

12
17

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)

49
158
(ii)

439
1421
(iii)

981
1421
(iv)

9
29
(v)

440
1421

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
2
(iv)

0
(v)

1
4

Assignment Key