EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

a)	The probability of an impossible event is 1
b)	The probability of an unsure event is 0
c)	The probability of an imposible event can be > 1
d)	The probability of a sure event is 1
e)	For an event E, we have 0 ≤ P(E) ≤ 1

(i)

{b,e}
(ii)

{a,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e,d}

Question 2

2.

94 cards are numbered 1,2,3,....94 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)

13
47
(ii)

35
47
(iii)

11
47
(iv)

13
48
(v)

12
47

Question 3

3.

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

(i)

2
3
(ii)

3
4
(iii)

5
6
(iv)

1
2
(v)

4
5

Question 4

4.

Two players Pooja and Akshaya play a tennis match. It is known that the probability of Pooja winning the match is 0.44. What is the probability of Akshaya winning the match?

(i)

13
25
(ii)

11
25
(iii)

14
25
(iv)

15
26
(v)

3
5

Question 5

5.

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

(i)

4
5
(ii)

3
4
(iii)

5
6
(iv)

2
3
(v)

1
2

Question 6

6.

A survey of 60 men showed that only 50 of them know Telugu. Out of these men, if one is selected at random, what is the probability that the selected man knows Telugu?

(i)

1
6
(ii)

6
7
(iii)

1
(iv)

5
6
(v)

2
3

Question 7

7.

351 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

99

117

135

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

(i)

0
(ii)

1
3
(iii)

1
2
(iv)

2
3

Question 8

8.

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

(i)

53
(ii)

49
(iii)

55
(iv)

52
(v)

51

Question 9

9.

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

18

14

13

13

29

29

8

25

24

22

11

22

6

16

12

What is the empirical probability that an engineer lives greater than 16 km from her place of work?

(i)

2
5
(ii)

1
2
(iii)

8
15
(iv)

7
15

Question 10

10.

A bag contains 20 gray marbles, 40 red marbles, 20 white marbles and 15 yellow marbles. One marble is drawn at random from the bag. Find the probability that the marble drawn is not yellow.

(i)

3
19
(ii)

17
19
(iii)

16
19
(iv)

15
19
(v)

17
20

Question 11

11.

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

(i)

2
9
(ii)

7
8
(iii)

0
(iv)

1
4
(v)

1
8

Question 12

12.

Which of the following are true?

a)	The probability of an event that is very likely to happen is 1
b)	The probability of an event that cannot happen is unknown
c)	If the probability of failing the exam is 0.83, the probability of passing the exam is 0.17
d)	If the probability is too less, it will become negative
e)	Probability of getting 105 marks out of 100 is 1.05

(i)

{c}
(ii)

{d,e,c}
(iii)

{b,c}
(iv)

{a,c}

Question 13

13.

An unbiased die is thrown once. Find the probability of getting a 1?

(i)

2
7
(ii)

0
(iii)

1
3
(iv)

1
6
(v)

5
6

Question 14

14.

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

(i)

2
3
(ii)

25
36
(iii)

11
36
(iv)

26
37
(v)

13
18

Question 15

15.

A die is thrown 60 times. Prime numbers appeared on the upper face 35 times. If a die is thrown at random, what is the probability of getting a prime number?

(i)

1
2
(ii)

2
3
(iii)

8
13
(iv)

7
12
(v)

5
12

Question 16

16.

A lot of 36 bulbs contain 18 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)

17
35
(ii)

1
2
(iii)

16
35
(iv)

18
35

Question 17

17.

What is the probability of a sure event?

(i)

1
(ii)

1
2
(iii)

1
4
(iv)

0
(v)

3
4

Question 18

18.

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

(i)

1
2
(ii)

0
(iii)

3
4
(iv)

1
(v)

1
4

Question 19

19.

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

(i)

3
4
(ii)

4
5
(iii)

1
2
(iv)

1
4
(v)

1

Question 20

20.

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

(i)

2
3
(ii)

5
6
(iii)

4
5
(iv)

3
4
(v)

1
2

Question 21

21.

An unbiased die is thrown once. Find the probability of getting a number between 2 and 5?

(i)

0
(ii)

1
2
(iii)

2
3
(iv)

1
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 either a red card or a king?

(i)

1
26
(ii)

3
13
(iii)

7
13
(iv)

1
52
(v)

1
13

Question 23

23.

In a lottery, there are 16 prizes and 17 blanks. What is the probability of getting a prize?

(i)

5
11
(ii)

16
33
(iii)

1
2
(iv)

17
33

Question 24

24.

A bag contains 39 yellow balls, 33 gray balls, 6 white balls and 42 orange balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is yellow.

(i)

7
20
(ii)

3
10
(iii)

27
40
(iv)

13
40
(v)

14
41

Question 25

25.

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

(i)

1
2
(ii)

5
6
(iii)

3
4
(iv)

4
5
(v)

2
3

Assignment Key