EduSahara™ Worksheet

Question 1

1.

A coin is tossed 60 times and tail appears 35 times. If the coin is tossed again, what is the probability of getting a head?

(i)

1
2
(ii)

6
13
(iii)

1
3
(iv)

7
12
(v)

5
12

Question 2

2.

A bag contains 22 black marbles, 24 yellow marbles, 18 blue marbles and 16 red marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is red or yellow.

(i)

5
6
(ii)

3
4
(iii)

2
3
(iv)

1
2
(v)

4
5

Question 3

3.

Which of the following experiments have equally likely outcomes?

a)	A baby is born. It is a boy or girl
b)	A ball is hit. It reaches the boundary or not
c)	A man starts his vehicle. It starts or it does not starts
d)	A man throws a die. The number on the top is either 2 or not 2
e)	A true/false question is attempted. The answer is either right or wrong

(i)

{d,b,a}
(ii)

{b,a}
(iii)

{c,e}
(iv)

{c,e,a}
(v)

{a,e}

Question 4

4.

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)

0
(iii)

4
5
(iv)

2
5
(v)

1
3

Question 5

5.

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 two-digit number.

(i)

8
11
(ii)

4
5
(iii)

3
10
(iv)

7
10
(v)

3
5

Question 6

6.

A die is thrown twice. What is the probability that 3 will not come up either time?

(i)

25
36
(ii)

13
18
(iii)

26
37
(iv)

11
36
(v)

2
3

Question 7

7.

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 greater then 14?

(i)

6
7
(ii)

2
3
(iii)

1
(iv)

5
6
(v)

1
6

Question 8

8.

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 less then 16?

(i)

16
21
(ii)

3
11
(iii)

2
7
(iv)

5
21
(v)

4
21

Question 9

9.

Three unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.

(i)

4
5
(ii)

3
4
(iii)

2
3
(iv)

1
2
(v)

5
6

Question 10

10.

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)

34
133
(ii)

100
133
(iii)

32
133
(iv)

17
67
(v)

33
133

Question 11

11.

A die is thrown twice. What is the probability that 1 will come atleast once?

(i)

5
18
(ii)

25
36
(iii)

1
3
(iv)

12
37
(v)

11
36

Question 12

12.

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

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

50

70

80

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

(i)

7
23
(ii)

8
23
(iii)

6
23
(iv)

16
23
(v)

1
3

Question 13

13.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is either a red card or a king?

(i)

3
13
(ii)

7
13
(iii)

1
52
(iv)

1
13
(v)

1
26

Question 14

14.

The following table shows the blood-groups of 369 students of a class.

Blood group

B

AB

A

O

Number of students

54

81

108

126

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

(i)

7
41
(ii)

6
41
(iii)

35
41
(iv)

5
41
(v)

1
6

Question 15

15.

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)

0
(ii)

1
4
(iii)

1
8
(iv)

2
9
(v)

7
8

Question 16

16.

Two unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.

(i)

0
(ii)

1
2
(iii)

2
5
(iv)

3
4
(v)

1
4

Question 17

17.

A carton consist of 90 shirts of which 70 are good, 15 have minor defects and 5 have major defects. Ramu, 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 Rajini?

(i)

8
9
(ii)

17
18
(iii)

1
18
(iv)

18
19
(v)

1

Question 18

18.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a spades?

(i)

1
4
(ii)

3
13
(iii)

1
52
(iv)

1
26
(v)

1
13

Question 19

19.

Which of the following are possible values of probability?

a)

2

3

b)

5

c)

0.44

d)

-5.2

e)

6

5

(i)

{d,c}
(ii)

{d,c,a}
(iii)

{e,b,a}
(iv)

{a,c}
(v)

{b,a}

Question 20

20.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '5' of diamonds?

(i)

1
13
(ii)

3
13
(iii)

1
26
(iv)

1
4
(v)

1
52

Question 21

21.

An unbiased die is thrown once. Find the probability of getting a number greater than 3?

(i)

1
2
(ii)

2
3
(iii)

4
5
(iv)

3
4
(v)

5
6

Question 22

22.

An unbiased die is thrown once. Find the probability of getting a number less than 2?

(i)

2
7
(ii)

5
6
(iii)

0
(iv)

1
3
(v)

1
6

Question 23

23.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a jack of diamonds?

(i)

1
4
(ii)

3
13
(iii)

1
52
(iv)

1
26
(v)

1
13

Question 24

24.

A carton consist of 103 shirts of which 87 are good, 13 have minor defects and 3 have major defects. Satish, a trader, will only accept the shirts which are good, but Spoorthi, 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 Satish?

(i)

88
103
(ii)

16
103
(iii)

86
103
(iv)

87
103
(v)

11
13

Question 25

25.

A die is thrown twice. What is the probability that 5 will not come up either time?

(i)

13
18
(ii)

25
36
(iii)

11
36
(iv)

26
37
(v)

2
3

Assignment Key