EduSahara™ Worksheet

Question 1

1.

Which of the following are possible values of probability?

a)

2

b)

-5.3

c)

6

7

d)

2

1

e)

0.75

(i)

{a,c}
(ii)

{b,e,c}
(iii)

{d,a,c}
(iv)

{b,e}
(v)

{c,e}

Question 2

2.

Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.

(i)

1
6
(ii)

2
7
(iii)

0
(iv)

5
6
(v)

1
3

Question 3

3.

A coin is tossed 50 times and head appears 25 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

5
6
(ii)

3
4
(iii)

1
2
(iv)

2
3
(v)

4
5

Question 4

4.

216 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

108

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

(i)

7
24
(ii)

1
4
(iii)

1
3
(iv)

17
24
(v)

8
25

Question 5

5.

Three coins are tossed simultaneously 295 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

25

65

100

105

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

(i)

7
30
(ii)

14
59
(iii)

12
59
(iv)

46
59
(v)

13
59

Question 6

6.

In a lottery, there are 19 prizes and 12 blanks. What is the probability of getting a prize?

(i)

20
31
(ii)

5
8
(iii)

12
31
(iv)

18
31
(v)

19
31

Question 7

7.

A coin is tossed 90 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?

(i)

7
9
(ii)

2
3
(iii)

13
18
(iv)

5
18
(v)

14
19

Question 8

8.

An unbiased die is thrown once. Find the probability of getting a prime number?

(i)

3
4
(ii)

5
6
(iii)

1
2
(iv)

2
3
(v)

4
5

Question 9

9.

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

(i)

1
26
(ii)

1
13
(iii)

1
4
(iv)

1
52
(v)

3
13

Question 10

10.

An unbiased die is thrown once. Find the probability of getting a 5?

(i)

0
(ii)

1
6
(iii)

2
7
(iv)

1
3
(v)

5
6

Question 11

11.

A die is thrown twice. What is the probability that 6 will come atleast once?

(i)

5
18
(ii)

11
36
(iii)

25
36
(iv)

1
3
(v)

12
37

Question 12

12.

A die is thrown twice. What is the probability that 1 will not come up either time?

(i)

25
36
(ii)

13
18
(iii)

26
37
(iv)

11
36
(v)

2
3

Question 13

13.

A carton consist of 82 shirts of which 68 are good, 11 have minor defects and 3 have major defects. Charan, a trader, will only accept the shirts which are good, but Jasmine, 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 Charan?

(i)

33
41
(ii)

5
6
(iii)

7
41
(iv)

35
41
(v)

34
41

Question 14

14.

A survey of 150 men showed that only 65 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English?

(i)

14
31
(ii)

13
30
(iii)

2
5
(iv)

17
30
(v)

7
15

Question 15

15.

A lot of 28 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?

(i)

6
7
(ii)

1
4
(iii)

0
(iv)

1
7
(v)

2
7

Question 16

16.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '10' of hearts?

(i)

1
13
(ii)

1
4
(iii)

1
26
(iv)

1
52
(v)

3
13

Question 17

17.

65 cards are numbered 1,2,3,....65 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)

32
65
(ii)

33
65
(iii)

17
33
(iv)

34
65

Question 18

18.

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 greater then 26?

(i)

2
7
(ii)

4
7
(iii)

6
7
(iv)

3
4
(v)

5
7

Question 19

19.

A carton consist of 83 shirts of which 65 are good, 15 have minor defects and 3 have major defects. Murali, a trader, will only accept the shirts which are good, but Hamida, 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 Hamida?

(i)

80
83
(ii)

81
83
(iii)

3
83
(iv)

79
83
(v)

27
28

Question 20

20.

Two coins are tossed simultaneously 80 times and it was observed that both tails appeared 45 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

5
8
(ii)

7
16
(iii)

10
17
(iv)

9
16
(v)

1
2

Question 21

21.

Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.

(i)

1
2
(ii)

5
8
(iii)

1
4
(iv)

3
8
(v)

4
9

Question 22

22.

66 cards are numbered 1,2,3,....66 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)

2
11
(ii)

14
67
(iii)

53
66
(iv)

13
66
(v)

7
33

Question 23

23.

What is the probability of an impossible event?

(i)

0
(ii)

1
4
(iii)

1
(iv)

1
2
(v)

3
4

Question 24

24.

A bag contains 6 red marbles, 24 yellow marbles, 18 pink marbles and 28 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is pink or yellow.

(i)

17
38
(ii)

22
39
(iii)

21
38
(iv)

11
19
(v)

10
19

Question 25

25.

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 a prime number?

(i)

1
4
(ii)

10
33
(iii)

23
32
(iv)

5
16
(v)

9
32

Assignment Key