EduSahara™ Worksheet

Question 1

1.

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

(i)

1
(ii)

4
(iii)

5
(iv)

3
(v)

7

Question 2

2.

A box contains 40 discs which are numbered from 1 to 40. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.

(i)

32
41
(ii)

3
4
(iii)

31
40
(iv)

9
40
(v)

4
5

Question 3

3.

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

(i)

35
(ii)

37
(iii)

39
(iv)

36
(v)

33

Question 4

4.

What is the probability of an impossible event?

(i)

1
2
(ii)

0
(iii)

3
4
(iv)

1
(v)

1
4

Question 5

5.

A box contains 15 black marbles, 25 gray marbles, 10 orange marbles and 65 pink marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is pink.

(i)

13
23
(ii)

12
23
(iii)

14
23
(iv)

7
12
(v)

10
23

Question 6

6.

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

(i)

1
(ii)

1
2
(iii)

3
4
(iv)

1
4
(v)

4
5

Question 7

7.

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

(i)

3
4
(ii)

1
(iii)

7
8
(iv)

8
9
(v)

1
8

Question 8

8.

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 less then 21?

(i)

9
13
(ii)

3
13
(iii)

5
13
(iv)

4
13
(v)

5
14

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 spades?

(i)

1
26
(ii)

1
52
(iii)

1
4
(iv)

1
13
(v)

3
13

Question 10

10.

In a lottery, there are 29 prizes and 16 blanks. What is the probability of not getting a prize?

(i)

16
45
(ii)

17
45
(iii)

1
3
(iv)

17
46
(v)

29
45

Question 11

11.

On a particular day, at a crossing in a city, the various types of 165 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Three-wheeler

Four-wheeler

Two-wheeler

Frequency

30

65

70

Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Four-wheeler' ?

(i)

14
33
(ii)

20
33
(iii)

4
11
(iv)

7
17
(v)

13
33

Question 12

12.

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

10

19

6

24

5

20

15

4

24

25

10

16

3

9

29

What is the empirical probability that an engineer lives less than 16 km from her place of work?

(i)

8
15
(ii)

7
15
(iii)

3
5
(iv)

9
16

Question 13

13.

A box contains 35 black marbles, 15 blue marbles, 65 gray marbles and 60 yellow marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is blue or gray.

(i)

3
7
(ii)

17
35
(iii)

19
35
(iv)

17
36
(v)

16
35

Question 14

14.

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

(i)

51
(ii)

49
(iii)

52
(iv)

53
(v)

55

Question 15

15.

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

(i)

1
26
(ii)

3
13
(iii)

1
4
(iv)

1
13
(v)

1
52

Question 16

16.

88 cards are numbered 1,2,3,....88 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)

3
11
(ii)

23
88
(iii)

1
4
(iv)

24
89
(v)

65
88

Question 17

17.

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

(i)

4
9
(ii)

1
4
(iii)

1
2
(iv)

3
8
(v)

5
8

Question 18

18.

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

(i)

13
18
(ii)

25
36
(iii)

26
37
(iv)

11
36
(v)

2
3

Question 19

19.

Which of the following experiments have equally likely outcomes?

a)	A man throws a die. The number on the top is either 5 or not 5
b)	A man starts his vehicle. It starts or it does not starts
c)	A ball is hit. It reaches the boundary or not
d)	A baby is born. It is a boy or girl
e)	A true/false question is attempted. The answer is either right or wrong

(i)

{b,e}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{a,d}

Question 20

20.

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

(i)

1
(ii)

1
2
(iii)

4
5
(iv)

3
4
(v)

1
4

Question 21

21.

An unbiased die is thrown once. Find the probability of getting a number between 2 and 5?

(i)

1
2
(ii)

2
3
(iii)

0
(iv)

1
3

Question 22

22.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '6' of black suit ?

(i)

1
26
(ii)

3
13
(iii)

1
13
(iv)

1
52
(v)

1
4

Question 23

23.

Three coins are tossed simultaneously 215 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

30

45

55

85

If the three coins are simultaneously tossed again, compute the probability of 'No heads' coming up.

(i)

16
43
(ii)

17
43
(iii)

9
22
(iv)

18
43
(v)

26
43

Question 24

24.

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

17

12

14

12

21

12

13

15

2

11

10

29

What is the empirical probability that an engineer lives greater than 12 km from her place of work?

(i)

5
6
(ii)

1
2
(iii)

4
5
(iv)

3
4
(v)

2
3

Question 25

25.

A coin is tossed 50 times and tail appears 45 times. If the coin is tossed again, what is the probability of getting a head?

(i)

9
10
(ii)

0
(iii)

1
10
(iv)

1
5
(v)

2
11

Assignment Key