EduSahara™ Worksheet

Question 1

1.

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

(i)

1
4
(ii)

1
2
(iii)

3
4
(iv)

1
(v)

4
5

Question 2

2.

Two unbiased dice are thrown simultaneously. Find the probability of getting 12 as the sum of the two numbers on the dice.

(i)

1
36
(ii)

0
(iii)

1
18
(iv)

35
36
(v)

2
37

Question 3

3.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '3' of clubs?

(i)

3
13
(ii)

1
13
(iii)

1
4
(iv)

1
26
(v)

1
52

Question 4

4.

A lot of 35 bulbs contain 10 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)

11
17
(ii)

12
17
(iii)

5
17
(iv)

13
17
(v)

13
18

Question 5

5.

A die is thrown twice. What is the probability that 3 will not come up either time?

(i)

11
36
(ii)

13
18
(iii)

25
36
(iv)

26
37
(v)

2
3

Question 6

6.

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

(i)

0
(ii)

1
4
(iii)

2
5
(iv)

3
4
(v)

1
2

Question 7

7.

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

(i)

4
5
(ii)

3
4
(iii)

2
3
(iv)

5
6
(v)

1
2

Question 8

8.

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

(i)

3
4
(ii)

1
4
(iii)

0
(iv)

2
5
(v)

1
2

Question 9

9.

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

(i)

0
(ii)

2
7
(iii)

1
3
(iv)

5
6
(v)

1
6

Question 10

10.

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

(i)

11
36
(ii)

13
18
(iii)

26
37
(iv)

2
3
(v)

25
36

Question 11

11.

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

(i)

1
(ii)

363
365
(iii)

364
365
(iv)

1
365
(v)

365
366

Question 12

12.

An unbiased die is thrown once. Find the probability of getting an even number?

(i)

4
5
(ii)

2
3
(iii)

1
2
(iv)

5
6
(v)

3
4

Question 13

13.

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

(i)

1
(ii)

2
3
(iii)

3
4
(iv)

1
3

Question 14

14.

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

(i)

5
6
(ii)

2
3
(iii)

1
2
(iv)

4
5
(v)

3
4

Question 15

15.

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

(i)

2.5
(ii)

0.5
(iii)

1.5
(iv)

7.5
(v)

8.5

Question 16

16.

There are 68 students in a class room of whom 28 are boys and 40 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a boy ?

(i)

7
17
(ii)

4
9
(iii)

6
17
(iv)

8
17
(v)

10
17

Question 17

17.

A carton consist of 99 shirts of which 83 are good, 14 have minor defects and 2 have major defects. Srikanth, a trader, will only accept the shirts which are good, but Meena, 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 Srikanth?

(i)

28
33
(ii)

21
25
(iii)

83
99
(iv)

16
99
(v)

82
99

Question 18

18.

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)

1
2
(ii)

0
(iii)

1
4
(iv)

2
5
(v)

3
4

Question 19

19.

Which of the following are possible values of probability?

a)

9

7

b)

-1.5

c)

3

d)

2

7

e)

0.57

(i)

{a,d}
(ii)

{d,e}
(iii)

{c,a,d}
(iv)

{b,e}
(v)

{b,e,d}

Question 20

20.

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

(i)

1
365
(ii)

1
183
(iii)

0
(iv)

2
365
(v)

364
365

Question 21

21.

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

(i)

3
4
(ii)

2
3
(iii)

5
6
(iv)

4
5
(v)

1
2

Question 22

22.

87 cards are numbered 1,2,3,....87 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 divisible by 5?

(i)

9
44
(ii)

6
29
(iii)

16
87
(iv)

70
87
(v)

17
87

Question 23

23.

On a particular day, at a crossing in a city, the various types of 125 vehicles going past during a time-interval were observed as under:

Type of Vehicle

Four-wheeler

Two-wheeler

Three-wheeler

Frequency

30

45

50

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

(i)

1
5
(ii)

6
25
(iii)

7
25
(iv)

19
25
(v)

7
26

Question 24

24.

What is the probability of an impossible event?

(i)

1
(ii)

1
4
(iii)

1
2
(iv)

0
(v)

3
4

Question 25

25.

One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '7' of black suit ?

(i)

1
13
(ii)

1
26
(iii)

3
13
(iv)

1
4
(v)

1
52

Assignment Key