EduSahara™ Worksheet

Question 1

1.

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

(i)

1
2
(ii)

5
6
(iii)

2
3
(iv)

4
5
(v)

3
4

Question 2

2.

A survey of 130 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)

5
6
(ii)

2
3
(iii)

4
5
(iv)

1
2
(v)

3
4

Question 3

3.

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

(i)

3
4
(ii)

1
2
(iii)

4
5
(iv)

1
4
(v)

1

Question 4

4.

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

(i)

0
(ii)

2
5
(iii)

1
2
(iv)

1
4
(v)

3
4

Question 5

5.

A die is thrown twice. What is the probability that 4 will not come up either time?

(i)

26
37
(ii)

2
3
(iii)

25
36
(iv)

11
36
(v)

13
18

Question 6

6.

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

11

22

23

6

8

11

17

18

1

27

7

What is the empirical probability that an engineer lives greater than 11 km from her place of work?

(i)

4
11
(ii)

1
2
(iii)

6
11
(iv)

5
11

Question 7

7.

A box contains 60 discs which are numbered from 1 to 60. 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)

4
5
(iii)

0
(iv)

2
5
(v)

1
3

Question 8

8.

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

(i)

2
3
(ii)

5
6
(iii)

3
4
(iv)

4
5
(v)

1
2

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 queen?

(i)

1
4
(ii)

3
13
(iii)

1
52
(iv)

1
26
(v)

1
13

Question 10

10.

Which of the following are true?

a)	If the probability of failing the exam is 0.5, the probability of passing the exam is 0.5
b)	Probability of getting 109 marks out of 100 is 1.09
c)	The probability of an event that is very likely to happen is 1
d)	If the probability is too less, it will become negative
e)	The probability of an event that cannot happen is unknown

(i)

{d,e,a}
(ii)

{b,a}
(iii)

{c,a}
(iv)

{a}

Question 11

11.

A coin is tossed 100 times and head appears 65 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

13
20
(ii)

7
20
(iii)

8
21
(iv)

3
10
(v)

2
5

Question 12

12.

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
4
(ii)

1
13
(iii)

3
13
(iv)

1
52
(v)

1
26

Question 13

13.

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

(i)

365
366
(ii)

364
365
(iii)

1
365
(iv)

1
(v)

363
365

Question 14

14.

If P(E) =
0.89
, find P(
E
)

(i)

8.11
(ii)

7.11
(iii)

0.11
(iv)

2.11
(v)

1.11

Question 15

15.

50 cards are numbered 1,2,3,....50 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
5
(ii)

2
5
(iii)

7
10
(iv)

4
11
(v)

3
10

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 jack of hearts?

(i)

1
13
(ii)

1
26
(iii)

3
13
(iv)

1
4
(v)

1
52

Question 17

17.

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

(i)

39
(ii)

36
(iii)

34
(iv)

37
(v)

35

Question 18

18.

A die is thrown twice. What is the probability that 3 will come up atleast once?

(i)

25
36
(ii)

5
18
(iii)

11
36
(iv)

12
37
(v)

1
3

Question 19

19.

An unbiased die is thrown once. Find the probability of getting a number between 3 and 5?

(i)

0
(ii)

1
3
(iii)

5
6
(iv)

2
7
(v)

1
6

Question 20

20.

A bag contains 60 blue marbles, 25 pink marbles, 35 yellow marbles and 70 red marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is neither red nor yellow.

(i)

17
38
(ii)

9
19
(iii)

8
19
(iv)

6
13
(v)

21
38

Question 21

21.

A die is thrown 450 times. The number 5 appears on the upper face 82 times. Now the die is thrown at random. What is the probability of getting a 5 ?

(i)

21
113
(ii)

41
225
(iii)

14
75
(iv)

8
45
(v)

184
225

Question 22

22.

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

(i)

2
7
(ii)

5
6
(iii)

1
3
(iv)

0
(v)

1
6

Question 23

23.

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

(i)

4
5
(ii)

3
4
(iii)

5
6
(iv)

2
3
(v)

1
2

Question 24

24.

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

(i)

3
4
(ii)

1
2
(iii)

5
6
(iv)

4
5
(v)

2
3

Question 25

25.

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

(i)

1
(ii)

4
5
(iii)

3
4
(iv)

1
4
(v)

1
2

Assignment Key