EduSahara™ Worksheet

Question 1

1.

A box contains 52 black balls, 48 blue balls, 20 orange balls and 44 red balls. One ball is drawn at random from the box. Find the probability that the ball drawn is orange or black.

(i)

19
41
(ii)

19
42
(iii)

23
41
(iv)

18
41
(v)

17
41

Question 2

2.

A single unbiased coin is tossed. Find the probability of getting a head.

(i)

3
4
(ii)

1
2
(iii)

2
3
(iv)

4
5
(v)

5
6

Question 3

3.

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

(i)

5
6
(ii)

1
3
(iii)

0
(iv)

1
6
(v)

2
7

Question 4

4.

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)

1
52
(ii)

3
13
(iii)

1
26
(iv)

1
13
(v)

7
13

Question 5

5.

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)

2
17
(ii)

15
16
(iii)

1
16
(iv)

1
8
(v)

0

Question 6

6.

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)

2
7
(ii)

5
6
(iii)

1
6
(iv)

0
(v)

1
3

Question 7

7.

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

(i)

3
8
(ii)

5
8
(iii)

1
2
(iv)

4
9
(v)

1
4

Question 8

8.

Two coins are tossed simultaneously 140 times and it was observed that both heads appeared 25 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

6
29
(ii)

3
14
(iii)

5
28
(iv)

1
7
(v)

23
28

Question 9

9.

92 cards are numbered 1,2,3,....92 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)

7
23
(ii)

6
23
(iii)

17
23
(iv)

7
24
(v)

5
23

Question 10

10.

A die is thrown 420 times. The number 2 appears on the upper face 76 times. Now the die is thrown at random. What is the probability of getting a 2 ?

(i)

10
53
(ii)

6
35
(iii)

86
105
(iv)

19
105
(v)

4
21

Question 11

11.

A carton consist of 103 shirts of which 85 are good, 14 have minor defects and 4 have major defects. Akbar, a trader, will only accept the shirts which are good, but Priyanka, 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 Priyanka?

(i)

4
103
(ii)

98
103
(iii)

100
103
(iv)

25
26
(v)

99
103

Question 12

12.

A box contains 40 orange marbles, 50 red marbles, 30 white marbles and 50 yellow marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is not red.

(i)

12
17
(ii)

5
17
(iii)

13
17
(iv)

13
18
(v)

11
17

Question 13

13.

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 an odd number?

(i)

1
2
(ii)

5
6
(iii)

4
5
(iv)

3
4
(v)

2
3

Question 14

14.

Two coins are tossed simultaneously 150 times and it was observed that both tails appeared 75 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

4
5
(ii)

5
6
(iii)

3
4
(iv)

2
3
(v)

1
2

Question 15

15.

Which of the following are true?

a)	The probability of an impossible event is 1
b)	The probability of a sure 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)

{d,a,b}
(ii)

{c,e}
(iii)

{a,b}
(iv)

{c,e,b}
(v)

{b,e}

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 clubs?

(i)

1
4
(ii)

3
13
(iii)

1
52
(iv)

1
26
(v)

1
13

Question 17

17.

Two unbiased dice are thrown simultaneously. Find the probability of getting 3 as the sum of the two numbers on the dice.

(i)

1
18
(ii)

17
18
(iii)

2
19
(iv)

0
(v)

1
9

Question 18

18.

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 number divisible by 5.

(i)

2
5
(ii)

0
(iii)

1
5
(iv)

4
5
(v)

1
3

Question 19

19.

A box contains 28 gray marbles, 30 blue marbles, 20 pink marbles and 22 orange marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is orange.

(i)

11
50
(ii)

6
25
(iii)

1
5
(iv)

39
50
(v)

4
17

Question 20

20.

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

(i)

2
(ii)

7
(iii)

4
(iv)

3
(v)

5

Question 21

21.

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
2
(iii)

1
4
(iv)

2
5
(v)

3
4

Question 22

22.

If P(E) =
0.5
, find P(
E
)

(i)

8.5
(ii)

0.5
(iii)

1.5
(iv)

2.5
(v)

7.5

Question 23

23.

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

(i)

5
6
(ii)

2
3
(iii)

4
5
(iv)

3
4
(v)

1
2

Question 24

24.

A lot of 32 bulbs contain 13 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)

17
31
(ii)

19
31
(iii)

19
32
(iv)

18
31
(v)

13
31

Question 25

25.

61 cards are numbered 1,2,3,....61 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 17?

(i)

17
61
(ii)

15
61
(iii)

45
61
(iv)

16
61
(v)

17
62

Assignment Key