EduSahara™ Worksheet

Question 1

1.

63 cards are numbered 1,2,3,....63 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 22?

(i)

2
3
(ii)

1
3
(iii)

1
2
(iv)

0

Question 2

2.

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

(i)

1
4
(ii)

3
4
(iii)

4
5
(iv)

1
2
(v)

1

Question 3

3.

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

(i)

5
6
(ii)

2
7
(iii)

0
(iv)

1
6
(v)

1
3

Question 4

4.

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

(i)

3
4
(ii)

0
(iii)

1
4
(iv)

2
5
(v)

1
2

Question 5

5.

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

(i)

5
6
(ii)

4
5
(iii)

3
4
(iv)

2
3
(v)

1
2

Question 6

6.

A bag contains 44 blue marbles, 40 gray marbles, 20 black marbles and 52 red marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is neither blue nor red.

(i)

6
13
(ii)

5
13
(iii)

3
7
(iv)

8
13
(v)

4
13

Question 7

7.

The following table shows the blood-groups of 324 students of a class.

Blood group

AB

B

A

O

Number of students

54

63

90

117

One student of the class is choosen at random. What is the probability that the choosen student has blood group 'O' ?

(i)

13
36
(ii)

14
37
(iii)

1
3
(iv)

7
18
(v)

23
36

Question 8

8.

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)

1
8
(ii)

7
8
(iii)

0
(iv)

2
9
(v)

1
4

Question 9

9.

An unbiased die is thrown once. Find the probability of getting a 6?

(i)

5
6
(ii)

0
(iii)

1
3
(iv)

1
6
(v)

2
7

Question 10

10.

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

(i)

1
2
(ii)

5
6
(iii)

2
3
(iv)

3
4
(v)

4
5

Question 11

11.

A bag contains 24 red marbles, 4 orange marbles, 12 yellow marbles and 8 blue marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is red.

(i)

4
5
(ii)

2
3
(iii)

3
4
(iv)

1
2
(v)

5
6

Question 12

12.

A coin is tossed 100 times and head appears 80 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

1
3
(ii)

2
5
(iii)

4
5
(iv)

1
5
(v)

0

Question 13

13.

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?

(i)

1
4
(ii)

1
13
(iii)

3
13
(iv)

1
26
(v)

1
52

Question 14

14.

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

21

15

5

14

18

21

12

11

3

25

9

5

2

What is the empirical probability that an engineer lives less than 14 km from her place of work?

(i)

8
13
(ii)

4
7
(iii)

6
13
(iv)

7
13

Question 15

15.

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

(i)

1
4
(ii)

1
8
(iii)

0
(iv)

2
9
(v)

7
8

Question 16

16.

64 cards are numbered 1,2,3,....64 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)

13
16
(ii)

1
4
(iii)

3
16
(iv)

1
8
(v)

4
17

Question 17

17.

A die is thrown 360 times. The number 3 appears on the upper face 62 times. Now the die is thrown at random. What is the probability of getting a 3 ?

(i)

149
180
(ii)

1
6
(iii)

32
181
(iv)

8
45
(v)

31
180

Question 18

18.

In a lottery, there are 13 prizes and 10 blanks. What is the probability of getting a prize?

(i)

7
12
(ii)

10
23
(iii)

14
23
(iv)

12
23
(v)

13
23

Question 19

19.

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 16.00 cm?

(i)

1409
5481
(ii)

4073
5481
(iii)

1409
5482
(iv)

1408
5481
(v)

67
261

Question 20

20.

Two players Meena and Bharathi play a tennis match. It is known that the probability of Meena winning the match is 0.40. What is the probability of Bharathi winning the match?

(i)

2
3
(ii)

3
5
(iii)

2
5
(iv)

4
5

Question 21

21.

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

(i)

7.5
(ii)

8.5
(iii)

1.5
(iv)

0.5
(v)

2.5

Question 22

22.

Two unbiased dice are thrown simultaneously. Find the probability of getting 2 as the sum of the two numbers on the dice.

(i)

1
18
(ii)

1
36
(iii)

0
(iv)

2
37
(v)

35
36

Question 23

23.

A die is thrown twice. What is the probability that 4 will come up atleast once?

(i)

12
37
(ii)

11
36
(iii)

25
36
(iv)

5
18
(v)

1
3

Question 24

24.

A die is thrown twice. What is the probability that 2 will come atleast once?

(i)

12
37
(ii)

5
18
(iii)

25
36
(iv)

11
36
(v)

1
3

Question 25

25.

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

(i)

364
365
(ii)

0
(iii)

2
365
(iv)

1
183
(v)

1
365

Assignment Key