EduSahara™ Worksheet

Question 1

1.

A survey of 50 men showed that only 40 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)

5
6
(ii)

1
5
(iii)

3
5
(iv)

4
5
(v)

1

Question 2

2.

On a particular day, at a crossing in a city, the various types of 105 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Three-wheeler

Two-wheeler

Four-wheeler

Frequency

30

35

40

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

(i)

5
7
(ii)

1
7
(iii)

2
7
(iv)

3
7
(v)

3
8

Question 3

3.

The following table shows the blood-groups of 387 students of a class.

Blood group

AB

A

O

B

Number of students

63

81

90

153

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

(i)

6
43
(ii)

36
43
(iii)

8
43
(iv)

7
43
(v)

2
11

Question 4

4.

A bag contains 18 orange marbles, 6 pink marbles, 27 blue marbles and 45 gray marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is pink.

(i)

1
8
(ii)

1
16
(iii)

2
17
(iv)

0
(v)

15
16

Question 5

5.

A bag contains 24 white marbles, 28 blue marbles, 48 red marbles and 28 black marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is not red.

(i)

3
4
(ii)

5
8
(iii)

1
2
(iv)

3
8
(v)

2
3

Question 6

6.

A bag contains 30 pink marbles, 2 blue marbles, 18 red marbles and 2 gray marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is blue or gray.

(i)

1
7
(ii)

12
13
(iii)

1
13
(iv)

2
13
(v)

0

Question 7

7.

A box contains 3 red marbles, 9 orange marbles, 39 pink marbles and 15 black marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is neither red nor black.

(i)

8
11
(ii)

3
11
(iii)

9
11
(iv)

7
11
(v)

3
4

Question 8

8.

There are 58 students in a class room of whom 22 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)

10
29
(ii)

12
29
(iii)

18
29
(iv)

2
5
(v)

11
29

Question 9

9.

There are 76 students in a class room of whom 40 are boys and 36 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

10
19
(ii)

1
2
(iii)

9
19
(iv)

8
19

Question 10

10.

In a lottery, there are 11 prizes and 11 blanks. What is the probability of getting a prize?

(i)

2
3
(ii)

5
6
(iii)

4
5
(iv)

3
4
(v)

1
2

Question 11

11.

In a lottery, there are 29 prizes and 11 blanks. What is the probability of not getting a prize?

(i)

29
40
(ii)

3
10
(iii)

11
40
(iv)

12
41
(v)

1
4

Question 12

12.

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

(i)

71
100
(ii)

29
100
(iii)

30
101
(iv)

7
25
(v)

3
10

Question 13

13.

333 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

72

117

144

Compute the probability of the family, chosen at random, having 2 girls.

(i)

17
38
(ii)

16
37
(iii)

15
37
(iv)

21
37
(v)

17
37

Question 14

14.

Three coins are tossed simultaneously 145 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

25

30

40

50

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

(i)

23
29
(ii)

6
29
(iii)

7
29
(iv)

5
29
(v)

7
30

Question 15

15.

A die is thrown 445 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

30

45

55

90

110

115

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

(i)

10
89
(ii)

2
15
(iii)

12
89
(iv)

11
89
(v)

78
89

Question 16

16.

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

28

7

26

29

3

1

15

19

29

21

20

3

23

What is the empirical probability that an engineer lives less than 3 km from her place of work?

(i)

1
7
(ii)

2
13
(iii)

12
13
(iv)

1
13
(v)

0

Question 17

17.

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

19

4

25

28

11

3

16

12

12

6

23

1

What is the empirical probability that an engineer lives greater than 6 km from her place of work?

(i)

3
4
(ii)

2
3
(iii)

1
(iv)

1
3

Question 18

18.

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

(i)

364
365
(ii)

365
366
(iii)

1
(iv)

363
365
(v)

1
365

Question 19

19.

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

(i)

2
365
(ii)

1
183
(iii)

0
(iv)

364
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)

1
2
(ii)

0
(iii)

2
5
(iv)

1
4
(v)

3
4

Question 21

21.

A carton consist of 69 shirts of which 59 are good, 9 have minor defects and 1 have major defects. Ashish, a trader, will only accept the shirts which are good, but Geetha, 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 Ashish?

(i)

20
23
(ii)

58
69
(iii)

6
7
(iv)

59
69
(v)

10
69

Question 22

22.

A carton consist of 83 shirts of which 64 are good, 15 have minor defects and 4 have major defects. Satish, a trader, will only accept the shirts which are good, but Swetha, 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 Swetha?

(i)

80
83
(ii)

79
83
(iii)

4
83
(iv)

20
21
(v)

78
83

Question 23

23.

A lot of 39 bulbs contain 6 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

11
13
(ii)

1
13
(iii)

3
14
(iv)

3
13
(v)

2
13

Question 24

24.

A lot of 25 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)

3
4
(ii)

1
(iii)

4
5
(iv)

1
4
(v)

1
2

Question 25

25.

A box contains 50 discs which are numbered from 1 to 50. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.

(i)

21
25
(ii)

4
5
(iii)

14
17
(iv)

9
50
(v)

41
50

Question 26

26.

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 perfect square number.

(i)

1
10
(ii)

9
10
(iii)

1
5
(iv)

2
11
(v)

0

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)

1
3
(iii)

2
5
(iv)

0
(v)

4
5

Question 28

28.

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

(i)

1
(ii)

4
5
(iii)

3
4
(iv)

1
4
(v)

1
2

Question 29

29.

81 cards are numbered 1,2,3,....81 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)

14
27
(ii)

41
81
(iii)

40
81
(iv)

21
41

Question 30

30.

99 cards are numbered 1,2,3,....99 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)

8
33
(ii)

74
99
(iii)

13
50
(iv)

25
99
(v)

26
99

Question 31

31.

91 cards are numbered 1,2,3,....91 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)

19
91
(ii)

18
91
(iii)

73
91
(iv)

17
91
(v)

19
92

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 25?

(i)

59
83
(ii)

25
83
(iii)

24
83
(iv)

25
84
(v)

23
83

Question 33

33.

60 cards are numbered 1,2,3,....60 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 26?

(i)

13
30
(ii)

8
15
(iii)

3
5
(iv)

17
30
(v)

18
31

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 12.00 cm?

(i)

37
176
(ii)

36
175
(iii)

1
5
(iv)

139
175
(v)

37
175

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)

1
4
(ii)

2
5
(iii)

0
(iv)

3
4
(v)

1
2

Assignment Key