EduSahara™ Worksheet

Question 1

1.

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)

3
4
(ii)

1
2
(iii)

1
4
(iv)

4
5
(v)

1

Question 2

2.

82 cards are numbered 1,2,3,....82 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 greater then 11?

(i)

71
82
(ii)

36
41
(iii)

35
41
(iv)

72
83
(v)

11
82

Question 3

3.

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

(i)

1
3
(ii)

25
36
(iii)

11
36
(iv)

12
37
(v)

5
18

Question 4

4.

An unbiased die is thrown once. Find the probability of getting a 4?

(i)

1
3
(ii)

1
6
(iii)

5
6
(iv)

0
(v)

2
7

Question 5

5.

A box contains 30 blue balls, 18 pink balls, 9 black balls and 12 gray balls. One ball is drawn at random from the box. Find the probability that the ball drawn is blue.

(i)

11
24
(ii)

11
23
(iii)

10
23
(iv)

9
23
(v)

13
23

Question 6

6.

An unbiased die is thrown once. Find the probability of getting a number between 1 and 6?

(i)

3
4
(ii)

1
(iii)

2
3
(iv)

1
3

Question 7

7.

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

(i)

4
5
(ii)

1
4
(iii)

1
2
(iv)

1
(v)

3
4

Question 8

8.

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

(i)

1
2
(ii)

3
8
(iii)

5
8
(iv)

4
9
(v)

1
4

Question 9

9.

180 families with 2 children were selected randomly, and the following data were recorded

No. of girls in a family

0

1

2

Number of families

45

63

72

Compute the probability of the family, chosen at random, having 1 girl.

(i)

3
10
(ii)

2
5
(iii)

7
20
(iv)

13
20
(v)

8
21

Question 10

10.

Three coins are tossed simultaneously 290 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

55

60

85

90

If the three coins are simultaneously tossed again, compute the probability of '2 heads' coming up.

(i)

23
29
(ii)

6
29
(iii)

7
30
(iv)

7
29
(v)

5
29

Question 11

11.

91 cards are numbered 1,2,3,....91 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)

45
91
(ii)

47
91
(iii)

47
92
(iv)

46
91

Question 12

12.

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

(i)

1
2
(ii)

5
6
(iii)

2
3
(iv)

4
5
(v)

3
4

Question 13

13.

A coin is tossed 80 times and head appears 45 times. If the coin is tossed again, what is the probability of getting a tail?

(i)

8
17
(ii)

3
8
(iii)

1
2
(iv)

9
16
(v)

7
16

Question 14

14.

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

(i)

37
(ii)

35
(iii)

34
(iv)

39
(v)

36

Question 15

15.

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

(i)

364
365
(ii)

0
(iii)

1
183
(iv)

2
365
(v)

1
365

Question 16

16.

99 cards are numbered 1,2,3,....99 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)

2
11
(ii)

1
5
(iii)

20
99
(iv)

19
99
(v)

80
99

Question 17

17.

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)

0
(ii)

1
4
(iii)

2
5
(iv)

3
4
(v)

1
2

Question 18

18.

Two coins are tossed simultaneously 40 times and it was observed that both heads appeared 30 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

1
2
(ii)

4
5
(iii)

3
4
(iv)

1
(v)

1
4

Question 19

19.

Two players Deepti and Fathima play a tennis match. It is known that the probability of Deepti winning the match is 0.25. What is the probability of Fathima winning the match?

(i)

1
2
(ii)

1
(iii)

1
4
(iv)

3
4
(v)

4
5

Question 20

20.

Two coins are tossed simultaneously 110 times and it was observed that both tails appeared 95 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?

(i)

19
22
(ii)

9
11
(iii)

20
23
(iv)

3
22
(v)

10
11

Question 21

21.

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

(i)

5
(ii)

1
(iii)

4
(iv)

6
(v)

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 a queen?

(i)

1
13
(ii)

1
26
(iii)

1
52
(iv)

3
13
(v)

1
4

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 hearts?

(i)

1
4
(ii)

3
13
(iii)

1
26
(iv)

1
52
(v)

1
13

Question 24

24.

A die is thrown twice. What is the probability that 6 will not come up either time?

(i)

25
36
(ii)

2
3
(iii)

26
37
(iv)

13
18
(v)

11
36

Question 25

25.

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 6.00 cm?

(i)

18
77
(ii)

59
77
(iii)

19
78
(iv)

19
77
(v)

17
77

Assignment Key