EduSahara™ Worksheet

Question 1

1.

What is the probability of a sure event?

(i)

0
(ii)

3
4
(iii)

1
(iv)

1
4
(v)

1
2

Question 2

2.

What is the probability of an impossible event?

(i)

3
4
(ii)

1
4
(iii)

0
(iv)

1
2
(v)

1

Question 3

3.

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

(i)

17
36
(ii)

20
37
(iii)

5
9
(iv)

19
36
(v)

1
2

Question 4

4.

There are 80 students in a class room of whom 40 are boys and 40 are girls. From these students, one is choosen at random. What is the probability that the choosen student is a girl ?

(i)

2
3
(ii)

1
2
(iii)

5
6
(iv)

4
5
(v)

3
4

Question 5

5.

In a lottery, there are 14 prizes and 20 blanks. What is the probability of getting a prize?

(i)

6
17
(ii)

8
17
(iii)

4
9
(iv)

7
17
(v)

10
17

Question 6

6.

In a lottery, there are 29 prizes and 13 blanks. What is the probability of not getting a prize?

(i)

2
7
(ii)

1
3
(iii)

14
43
(iv)

13
42
(v)

29
42

Question 7

7.

Which of the following are true?

a)	If the probability is too less, it will become negative
b)	Probability of getting 102 marks out of 100 is 1.02
c)	The probability of an event that is very likely to happen is 1
d)	The probability of an event that cannot happen is unknown
e)	If the probability of failing the exam is 0.5, the probability of passing the exam is 0.5

(i)

{c,d,e}
(ii)

{e}
(iii)

{b,e}
(iv)

{a,e}

Question 8

8.

Which of the following experiments have equally likely outcomes?

a)	A man starts his vehicle. It starts or it does not starts
b)	A man throws a die. The number on the top is either 6 or not 6
c)	A baby is born. It is a boy or girl
d)	A ball is hit. It reaches the boundary or not
e)	A true/false question is attempted. The answer is either right or wrong

(i)

{c,e}
(ii)

{a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{d,a,c}

Question 9

9.

Which of the following are possible values of probability?

a)

-4.4

b)

2

c)

0.75

d)

1

2

e)

9

7

(i)

{a,c}
(ii)

{b,d}
(iii)

{b,d,c}
(iv)

{c,d}
(v)

{e,a,c}

Question 10

10.

If P(E) =
0.33
, find P(
E
)

(i)

2.67
(ii)

8.67
(iii)

1.67
(iv)

7.67
(v)

0.67

Question 11

11.

Which of the following are true?

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

(i)

{c,e}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{a,e}
(v)

{b,a}

Question 12

12.

Which of the following are true?

a)

P(E) + P(not E) = 1

b)

P(E) - P(
E
) = 0

c)

P(E) + P(
E
) = 0

d)

P(E) - P(not E) = 0

e)

P(E) = 1 - P(
E
)

(i)

{c,e}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{c,e,a}
(v)

{d,b,a}

Question 13

13.

Two players Sowjanya and Renuka play a tennis match. It is known that the probability of Sowjanya winning the match is 0.56. What is the probability of Renuka winning the match?

(i)

14
25
(ii)

11
25
(iii)

6
13
(iv)

12
25
(v)

2
5

Question 14

14.

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

(i)

363
365
(ii)

1
(iii)

1
365
(iv)

364
365
(v)

365
366

Question 15

15.

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

(i)

1
365
(ii)

1
183
(iii)

0
(iv)

2
365
(v)

364
365

Question 16

16.

In a musical chair game, the person playing the music has been advised to stop playing the music at any time with in 2 minutes after she starts playing. What is the probabilty that the music will stop within the first half-minute after starting?

(i)

1
2
(ii)

0
(iii)

1
4
(iv)

3
4
(v)

2
5

Question 17

17.

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 10.00 cm?

(i)

275
882
(ii)

137
441
(iii)

276
883
(iv)

46
147
(v)

607
882

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)

15
16
(ii)

0
(iii)

1
8
(iv)

2
17
(v)

1
16

Assignment Key