EduSahara™ Worksheet

Question 1

1.

A survey of 70 men showed that only 30 of them know French. Out of these men, if one is selected at random, what is the probability that the selected man knows French?

(i)

1
2
(ii)

2
7
(iii)

3
7
(iv)

4
7

Question 2

2.

On a particular day, at a crossing in a city, the various types of 115 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Four-wheeler

Three-wheeler

Two-wheeler

Frequency

30

40

45

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

(i)

10
23
(ii)

5
12
(iii)

8
23
(iv)

9
23
(v)

14
23

Question 3

3.

The following table shows the blood-groups of 270 students of a class.

Blood group

A

O

AB

B

Number of students

45

54

81

90

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

(i)

1
5
(ii)

4
11
(iii)

3
10
(iv)

2
5
(v)

7
10

Question 4

4.

A bag contains 16 orange balls, 18 yellow balls, 14 red balls and 2 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is orange.

(i)

9
25
(ii)

7
25
(iii)

9
26
(iv)

8
25
(v)

17
25

Question 5

5.

A bag contains 75 orange marbles, 65 white marbles, 45 pink marbles and 55 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is not white.

(i)

36
49
(ii)

13
48
(iii)

35
48
(iv)

3
4
(v)

17
24

Question 6

6.

A box contains 10 pink balls, 22 gray balls, 12 white balls and 20 blue balls. One ball is drawn at random from the box. Find the probability that the ball drawn is blue or pink.

(i)

16
33
(ii)

17
32
(iii)

7
16
(iv)

1
2
(v)

15
32

Question 7

7.

A box contains 45 gray balls, 65 red balls, 35 yellow balls and 45 orange balls. One ball is drawn at random from the box. Find the probability that the ball drawn is neither yellow nor gray.

(i)

10
19
(ii)

12
19
(iii)

3
5
(iv)

11
19
(v)

8
19

Question 8

8.

There are 78 students in a class room of whom 38 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)

6
13
(ii)

1
2
(iii)

20
39
(iv)

19
39

Question 9

9.

There are 46 students in a class room of whom 20 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)

12
23
(ii)

7
12
(iii)

10
23
(iv)

14
23
(v)

13
23

Question 10

10.

In a lottery, there are 13 prizes and 13 blanks. What is the probability of getting a prize?

(i)

1
2
(ii)

2
3
(iii)

3
4
(iv)

5
6
(v)

4
5

Question 11

11.

In a lottery, there are 10 prizes and 12 blanks. What is the probability of not getting a prize?

(i)

5
11
(ii)

7
11
(iii)

7
12
(iv)

6
11

Question 12

12.

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

(i)

1
4
(ii)

3
4
(iii)

1
2
(iv)

0
(v)

2
5

Question 13

13.

162 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

54

63

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

(i)

0
(ii)

2
3
(iii)

1
3
(iv)

1
2

Question 14

14.

Three coins are tossed simultaneously 185 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

35

40

50

60

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

(i)

27
37
(ii)

10
37
(iii)

11
37
(iv)

11
38
(v)

9
37

Question 15

15.

A die is thrown 255 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

35

50

55

60

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

(i)

3
13
(ii)

10
51
(iii)

4
17
(iv)

11
51
(v)

40
51

Question 16

16.

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

3

2

28

5

21

12

27

20

19

17

What is the empirical probability that an engineer lives less than 21 km from her place of work?

(i)

4
5
(ii)

3
5
(iii)

7
10
(iv)

8
11
(v)

3
10

Question 17

17.

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

13

3

17

14

28

1

29

4

18

28

18

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

(i)

1
(ii)

0
(iii)

1
4
(iv)

1
2
(v)

3
4

Question 18

18.

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

(i)

1
365
(ii)

363
365
(iii)

365
366
(iv)

1
(v)

364
365

Question 19

19.

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

(i)

1
365
(ii)

1
183
(iii)

0
(iv)

364
365
(v)

2
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)

0
(ii)

1
4
(iii)

3
4
(iv)

2
5
(v)

1
2

Question 21

21.

A carton consist of 79 shirts of which 70 are good, 6 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 Kiran?

(i)

71
79
(ii)

69
79
(iii)

71
80
(iv)

70
79
(v)

9
79

Question 22

22.

A carton consist of 78 shirts of which 62 are good, 11 have minor defects and 5 have major defects. Martin, a trader, will only accept the shirts which are good, but Kajal, 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 Kajal?

(i)

73
78
(ii)

74
79
(iii)

5
78
(iv)

37
39
(v)

12
13

Question 23

23.

A lot of 31 bulbs contain 9 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

10
31
(ii)

8
31
(iii)

22
31
(iv)

9
31
(v)

5
16

Question 24

24.

A lot of 31 bulbs contain 17 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)

2
5
(ii)

7
15
(iii)

17
30
(iv)

14
31
(v)

13
30

Question 25

25.

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 two-digit number.

(i)

62
71
(ii)

6
7
(iii)

9
70
(iv)

61
70
(v)

31
35

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)

0
(iii)

2
7
(iv)

1
3
(v)

5
6

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)

4
5
(ii)

1
5
(iii)

2
5
(iv)

1
3
(v)

0

Question 28

28.

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

(i)

3
4
(ii)

1
2
(iii)

4
5
(iv)

1
(v)

1
4

Question 29

29.

64 cards are numbered 1,2,3,....64 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)

4
5
(ii)

1
2
(iii)

5
6
(iv)

2
3
(v)

3
4

Question 30

30.

72 cards are numbered 1,2,3,....72 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)

2
9
(ii)

6
19
(iii)

5
18
(iv)

1
3
(v)

13
18

Question 31

31.

64 cards are numbered 1,2,3,....64 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)

3
16
(ii)

4
17
(iii)

13
16
(iv)

1
4
(v)

1
8

Question 32

32.

67 cards are numbered 1,2,3,....67 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 12?

(i)

56
67
(ii)

11
67
(iii)

3
17
(iv)

10
67
(v)

12
67

Question 33

33.

76 cards are numbered 1,2,3,....76 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 13?

(i)

64
77
(ii)

63
76
(iii)

16
19
(iv)

31
38
(v)

13
76

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)

157
403
(ii)

1100
2821
(iii)

1721
2821
(iv)

1101
2822
(v)

1101
2821

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)

1
4
(iii)

1
2
(iv)

2
5
(v)

0

Assignment Key