EduSahara™ Worksheet

Question 1

1.

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 11?

(i)

50
61
(ii)

4
5
(iii)

5
6
(iv)

49
60
(v)

11
60

Question 2

2.

In a lottery, there are 17 prizes and 14 blanks. What is the probability of getting a prize?

(i)

14
31
(ii)

9
16
(iii)

18
31
(iv)

17
31
(v)

16
31

Question 3

3.

Two unbiased dice are thrown simultaneously. Find the probability of getting 9 as the sum of the two numbers on the dice.

(i)

0
(ii)

1
9
(iii)

2
9
(iv)

1
5
(v)

8
9

Question 4

4.

A coin is tossed 40 times and tail appears 20 times. If the coin is tossed again, what is the probability of getting a head?

(i)

1
2
(ii)

4
5
(iii)

2
3
(iv)

5
6
(v)

3
4

Question 5

5.

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 4.00 cm?

(i)

101
112
(ii)

3
28
(iii)

5
56
(iv)

12
113
(v)

11
112

Question 6

6.

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

(i)

1
4
(ii)

3
13
(iii)

1
13
(iv)

1
52
(v)

1
26

Question 7

7.

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)

2
5
(iii)

0
(iv)

1
2
(v)

1
4

Question 8

8.

Three unbiased coins are tossed simultaneously. Find the probability of getting no head.

(i)

7
8
(ii)

0
(iii)

2
9
(iv)

1
8
(v)

1
4

Question 9

9.

A box contains 44 yellow balls, 40 orange balls, 56 black balls and 44 gray balls. One ball is drawn at random from the box. Find the probability that the ball drawn is not yellow.

(i)

11
46
(ii)

18
23
(iii)

36
47
(iv)

17
23
(v)

35
46

Question 10

10.

A lot of 28 bulbs contain 2 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)

26
27
(ii)

13
14
(iii)

2
27
(iv)

25
27
(v)

8
9

Question 11

11.

When two dice are thrown simultaneously, how many elementary events are possible?

(i)

37
(ii)

36
(iii)

39
(iv)

34
(v)

35

Question 12

12.

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

(i)

2
3
(ii)

1
(iii)

3
4
(iv)

1
3

Question 13

13.

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

27

5

13

3

23

26

6

19

20

10

1

20

29

15

8

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

(i)

7
8
(ii)

13
15
(iii)

14
15
(iv)

2
15
(v)

4
5

Question 14

14.

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 black card or a queen?

(i)

3
13
(ii)

7
13
(iii)

1
26
(iv)

1
52
(v)

1
13

Question 15

15.

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

(i)

1
3
(ii)

5
18
(iii)

11
36
(iv)

12
37
(v)

25
36

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 a diamonds?

(i)

1
13
(ii)

1
26
(iii)

1
52
(iv)

3
13
(v)

1
4

Question 17

17.

A carton consist of 76 shirts of which 66 are good, 9 have minor defects and 1 have major defects. Kalyan, 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 Kalyan?

(i)

5
38
(ii)

16
19
(iii)

17
19
(iv)

33
38
(v)

34
39

Question 18

18.

When two coins are tossed simultaneously, how many elementary events are possible?

(i)

5
(ii)

4
(iii)

3
(iv)

2
(v)

6

Question 19

19.

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

(i)

5
8
(ii)

3
8
(iii)

4
9
(iv)

1
2
(v)

1
4

Question 20

20.

A box contains 27 blue balls, 15 white balls, 12 gray balls and 18 pink balls. One ball is drawn at random from the box. Find the probability that the ball drawn is neither white nor blue.

(i)

7
12
(ii)

1
3
(iii)

1
2
(iv)

5
12
(v)

6
13

Question 21

21.

When a card is selected randomly out of a pack of cards, how many elementary events are possible?

(i)

49
(ii)

52
(iii)

53
(iv)

55
(v)

51

Question 22

22.

Which of the following are true?

a)	The probability of a sure event is 1
b)	The probability of an impossible event is 1
c)	The probability of an unsure event is 0
d)	The probability of an imposible event can be > 1
e)	For an event E, we have 0 ≤ P(E) ≤ 1

(i)

{c,e}
(ii)

{c,e,a}
(iii)

{a,e}
(iv)

{d,b,a}
(v)

{b,a}

Question 23

23.

Two unbiased dice are thrown simultaneously. Find the probability of getting at least 10 as the sum of the two numbers on the dice.

(i)

2
7
(ii)

5
6
(iii)

0
(iv)

1
6
(v)

1
3

Question 24

24.

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

(i)

4
5
(ii)

2
3
(iii)

5
6
(iv)

3
4
(v)

1
2

Question 25

25.

A coin is tossed 70 times and head appears 45 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

9
14
(ii)

2
5
(iii)

2
7
(iv)

3
7
(v)

5
14

Assignment Key