EduSahara™ Worksheet

Question 1

1.

An unbiased die is thrown once. Find the probability of getting a number less than 2?

(i)

1
3
(ii)

0
(iii)

5
6
(iv)

1
6
(v)

2
7

Question 2

2.

A coin is tossed 100 times and head appears 20 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

3
5
(ii)

4
5
(iii)

5
6
(iv)

1
(v)

1
5

Question 3

3.

There are 80 students in a class room of whom 40 are boys and 40 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

4
5
(ii)

5
6
(iii)

1
2
(iv)

2
3
(v)

3
4

Question 4

4.

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

(i)

54
(ii)

52
(iii)

51
(iv)

53
(v)

49

Question 5

5.

Two coins are tossed simultaneously 100 times and it was observed that both heads appeared 85 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

3
20
(ii)

6
7
(iii)

17
20
(iv)

4
5
(v)

9
10

Question 6

6.

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

(i)

35
(ii)

37
(iii)

39
(iv)

36
(v)

33

Question 7

7.

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

(i)

5
6
(ii)

1
2
(iii)

2
3
(iv)

4
5
(v)

3
4

Question 8

8.

Flavia and Spoorthi are friends. What is the probability that both will have same birthdays? (ignoring a leap year).

(i)

1
365
(ii)

364
365
(iii)

0
(iv)

1
183
(v)

2
365

Question 9

9.

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

(i)

1
8
(ii)

1
4
(iii)

7
8
(iv)

2
9
(v)

0

Question 10

10.

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 clubs?

(i)

1
26
(ii)

3
13
(iii)

1
13
(iv)

1
52
(v)

1
4

Question 11

11.

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

(i)

2
3
(ii)

5
6
(iii)

3
4
(iv)

1
2
(v)

4
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 black queen?

(i)

1
4
(ii)

1
13
(iii)

3
13
(iv)

1
26
(v)

1
52

Question 13

13.

A lot of 36 bulbs contain 11 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)

24
35
(ii)

5
7
(iii)

25
36
(iv)

23
35
(v)

11
35

Question 14

14.

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

(i)

363
365
(ii)

364
365
(iii)

1
(iv)

1
365
(v)

365
366

Question 15

15.

68 cards are numbered 1,2,3,....68 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)

3
4
(iii)

5
6
(iv)

2
3
(v)

4
5

Question 16

16.

A survey of 100 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)

13
20
(ii)

2
3
(iii)

7
20
(iv)

3
5
(v)

7
10

Question 17

17.

Two unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.

(i)

1
4
(ii)

0
(iii)

3
4
(iv)

2
5
(v)

1
2

Question 18

18.

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

(i)

3
4
(ii)

1
4
(iii)

1
2
(iv)

4
5
(v)

1

Question 19

19.

A coin is tossed 40 times and tail appears 35 times. If the coin is tossed again, what is the probability of getting a head?

(i)

7
8
(ii)

2
9
(iii)

0
(iv)

1
4
(v)

1
8

Question 20

20.

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 14.00 cm?

(i)

41
52
(ii)

11
52
(iii)

3
13
(iv)

5
26
(v)

12
53

Question 21

21.

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 king?

(i)

3
13
(ii)

1
26
(iii)

1
13
(iv)

7
13
(v)

1
52

Question 22

22.

On a particular day, at a crossing in a city, the various types of 130 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Four-wheeler

Three-wheeler

Two-wheeler

Frequency

35

45

50

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

(i)

10
27
(ii)

4
13
(iii)

17
26
(iv)

9
26
(v)

5
13

Question 23

23.

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
26
(iv)

1
13
(v)

1
52

Question 24

24.

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

22

10

16

25

12

21

15

19

2

18

7

28

28

What is the empirical probability that an engineer lives greater than 15 km from her place of work?

(i)

7
13
(ii)

5
13
(iii)

9
13
(iv)

8
13
(v)

9
14

Question 25

25.

Which of the following are true?

a)

P(E) = 1 - P(
E
)

b)

P(E) + P(not E) = 1

c)

P(E) - P(
E
) = 0

d)

P(E) + P(
E
) = 0

e)

P(E) - P(not E) = 0

(i)

{a,b}
(ii)

{d,b,a}
(iii)

{c,a}
(iv)

{e,c,a}
(v)

{d,b}

Assignment Key