EduSahara™ Worksheet

Question 1

1.

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

3

20

7

4

16

29

8

22

20

24

1

16

1

What is the empirical probability that an engineer lives greater than 29 km from her place of work?

(i)

1
4
(ii)

1
(iii)

3
4
(iv)

1
2
(v)

0

Question 2

2.

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

(i)

1
2
(ii)

4
5
(iii)

1
4
(iv)

3
4
(v)

1

Question 3

3.

Two players Rita and Seema play a tennis match. It is known that the probability of Rita winning the match is 0.50. What is the probability of Seema winning the match?

(i)

1
2
(ii)

3
4
(iii)

2
3
(iv)

5
6
(v)

4
5

Question 4

4.

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

(i)

1
2
(ii)

4
5
(iii)

5
6
(iv)

3
4
(v)

2
3

Question 5

5.

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

(i)

2
37
(ii)

1
36
(iii)

35
36
(iv)

0
(v)

1
18

Question 6

6.

Two unbiased dice are thrown simultaneously. Find the probability of getting 11 as the sum of the two numbers on the dice.

(i)

2
19
(ii)

17
18
(iii)

1
9
(iv)

0
(v)

1
18

Question 7

7.

An unbiased die is thrown once. Find the probability of getting a number greater than 3?

(i)

4
5
(ii)

2
3
(iii)

1
2
(iv)

3
4
(v)

5
6

Question 8

8.

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

(i)

363
365
(ii)

1
(iii)

365
366
(iv)

364
365
(v)

1
365

Question 9

9.

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

(i)

5
6
(ii)

3
4
(iii)

1
2
(iv)

2
3
(v)

4
5

Question 10

10.

A carton consist of 79 shirts of which 64 are good, 11 have minor defects and 4 have major defects. Raju, a trader, will only accept the shirts which are good, but Spoorthi, 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 Raju?

(i)

63
79
(ii)

65
79
(iii)

64
79
(iv)

15
79
(v)

13
16

Question 11

11.

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

(i)

1
(ii)

3
4
(iii)

8
9
(iv)

1
8
(v)

7
8

Question 12

12.

A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a number divisible by 5.

(i)

2
5
(ii)

4
5
(iii)

1
5
(iv)

1
3
(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 face card ?

(i)

3
13
(ii)

1
13
(iii)

1
4
(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

3

22

15

11

20

27

8

7

24

29

2

What is the empirical probability that an engineer lives less than 29 km from her place of work?

(i)

1
(ii)

10
11
(iii)

11
12
(iv)

9
11
(v)

1
11

Question 15

15.

If P(E) =
0.89
, find P(
E
)

(i)

7.11
(ii)

2.11
(iii)

0.11
(iv)

8.11
(v)

1.11

Question 16

16.

A die is thrown 370 times with the frequencies for outcomes 1, 2, 3, 4, 5 and 6 as given in the following table

Outcome

1

2

3

4

5

6

Frequency

25

50

65

70

75

85

If the die is thrown again randomly, find the probability of getting 6 as outcome.

(i)

17
74
(ii)

9
37
(iii)

8
37
(iv)

57
74
(v)

6
25

Question 17

17.

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

(i)

2
7
(ii)

1
6
(iii)

5
6
(iv)

0
(v)

1
3

Question 18

18.

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
2
(ii)

3
4
(iii)

2
5
(iv)

0
(v)

1
4

Question 19

19.

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

(i)

3
4
(ii)

1
2
(iii)

2
3
(iv)

5
6
(v)

4
5

Question 20

20.

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 diamonds?

(i)

1
4
(ii)

3
13
(iii)

1
13
(iv)

1
52
(v)

1
26

Question 21

21.

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

(i)

4
5
(ii)

2
3
(iii)

1
2
(iv)

5
6
(v)

3
4

Question 22

22.

A coin is tossed 100 times and tail appears 65 times. If the coin is tossed again, what is the probability of getting a head?

(i)

2
5
(ii)

13
20
(iii)

3
10
(iv)

7
20
(v)

8
21

Question 23

23.

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 a prime number?

(i)

23
87
(ii)

8
29
(iii)

64
87
(iv)

3
11
(v)

22
87

Question 24

24.

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

(i)

1
4
(ii)

1
8
(iii)

7
8
(iv)

0
(v)

2
9

Question 25

25.

Three coins are tossed simultaneously 175 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

25

35

50

65

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

(i)

2
5
(ii)

1
5
(iii)

4
5
(iv)

1
3
(v)

0

Assignment Key