EduSahara™ Worksheet

Question 1

1.

A carton consist of 97 shirts of which 82 are good, 11 have minor defects and 4 have major defects. Laxman, a trader, will only accept the shirts which are good, but Lakshmi, 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 Laxman?

(i)

82
97
(ii)

83
97
(iii)

83
98
(iv)

81
97
(v)

15
97

Question 2

2.

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

(i)

1
13
(ii)

3
13
(iii)

1
4
(iv)

1
26
(v)

1
52

Question 3

3.

A bag contains 3 red balls, 42 orange balls, 30 yellow balls and 39 blue balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is blue.

(i)

14
39
(ii)

13
38
(iii)

7
19
(iv)

6
19
(v)

25
38

Question 4

4.

Two unbiased dice are thrown simultaneously. Find the probability of getting 5 as the sum of the two numbers on the dice.

(i)

8
9
(ii)

2
9
(iii)

1
5
(iv)

0
(v)

1
9

Question 5

5.

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

(i)

1
2
(ii)

4
5
(iii)

5
6
(iv)

3
4
(v)

2
3

Question 6

6.

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

(i)

1
(ii)

365
366
(iii)

363
365
(iv)

1
365
(v)

364
365

Question 7

7.

A die is thrown 150 times. Prime numbers appeared on the upper face 70 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

7
15
(ii)

1
2
(iii)

2
5
(iv)

8
15

Question 8

8.

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

(i)

0
(ii)

2
5
(iii)

1
4
(iv)

3
4
(v)

1
2

Question 9

9.

234 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

54

81

99

Compute the probability of the family, chosen at random, having 2 girls.

(i)

6
13
(ii)

11
26
(iii)

15
26
(iv)

5
13
(v)

4
9

Question 10

10.

Which of the following are possible values of probability?

a)

2

b)

-1.4

c)

9

7

d)

1

2

e)

0.86

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e}
(iv)

{d,e}
(v)

{b,e,d}

Question 11

11.

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 12.00 cm?

(i)

43
273
(ii)

15
91
(iii)

45
274
(iv)

44
273
(v)

229
273

Question 12

12.

A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.

(i)

0
(ii)

9
10
(iii)

1
10
(iv)

2
11
(v)

1
5

Question 13

13.

Three coins are tossed simultaneously 150 times with the following frequencies of different outcomes :

Outcome

3 heads

2 heads

1 heads

No heads

Frequency

25

30

45

50

If the three coins are simultaneously tossed again, compute the probability of '1 heads' coming up.

(i)

7
10
(ii)

1
5
(iii)

3
10
(iv)

2
5
(v)

4
11

Question 14

14.

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

(i)

1
8
(ii)

7
8
(iii)

3
4
(iv)

1
(v)

8
9

Question 15

15.

A die is thrown 460 times. The number 1 appears on the upper face 86 times. Now the die is thrown at random. What is the probability of getting a 1 ?

(i)

21
115
(ii)

187
230
(iii)

4
21
(iv)

22
115
(v)

43
230

Question 16

16.

There are 72 students in a class room of whom 34 are boys and 38 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

17
36
(ii)

5
9
(iii)

1
2
(iv)

19
36
(v)

20
37

Question 17

17.

A lot of 32 bulbs contain 6 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)

6
31
(ii)

24
31
(iii)

13
16
(iv)

26
31
(v)

25
31

Question 18

18.

Which of the following experiments have equally likely outcomes?

a)	A ball is hit. It reaches the boundary or not
b)	A man throws a die. The number on the top is either 2 or not 2
c)	A baby is born. It is a boy or girl
d)	A true/false question is attempted. The answer is either right or wrong
e)	A man starts his vehicle. It starts or it does not starts

(i)

{e,a,c}
(ii)

{b,d,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{a,c}

Question 19

19.

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

(i)

5
6
(ii)

3
4
(iii)

4
5
(iv)

2
3
(v)

1
2

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 clubs?

(i)

1
52
(ii)

1
4
(iii)

1
26
(iv)

3
13
(v)

1
13

Question 21

21.

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

(i)

33
(ii)

36
(iii)

39
(iv)

35
(v)

37

Question 22

22.

Two coins are tossed simultaneously 50 times and it was observed that both heads appeared 40 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?

(i)

1
5
(ii)

4
5
(iii)

5
6
(iv)

1
(v)

3
5

Question 23

23.

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

(i)

2
3
(ii)

6
7
(iii)

1
(iv)

5
6
(v)

1
6

Question 24

24.

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

(i)

51
(ii)

53
(iii)

54
(iv)

50
(v)

52

Question 25

25.

An unbiased die is thrown once. Find the probability of getting a number between 1 and 5?

(i)

3
4
(ii)

2
3
(iii)

5
6
(iv)

4
5
(v)

1
2

Assignment Key