EduSahara™ Assignment
Name : Probability1
Chapter : Probability
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
A coin is tossed 40 times and tail appears 25 times. If the coin is tossed again, what is the probability of getting a head?
(i)
3
8
(ii)
1
4
(iii)
5
8
(iv)
4
9
(v)
1
2
Question
2
2.
A coin is tossed 90 times and head appears 45 times. If the coin is tossed again, what is the probability of getting a tail?
(i)
5
6
(ii)
4
5
(iii)
1
2
(iv)
3
4
(v)
2
3
Question
3
3.
Two coins are tossed simultaneously 60 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)
3
4
(ii)
1
(iii)
1
3
(iv)
2
3
Question
4
4.
Two coins are tossed simultaneously 60 times and it was observed that both tails appeared 20 times. If two coins are tossed simultaneously at random, what is the probability of getting both tails?
(i)
1
2
(ii)
0
(iii)
1
3
(iv)
2
3
Question
5
5.
A die is thrown 140 times. Prime numbers appeared on the upper face 135 times. If a die is thrown at random, what is the probability of getting a prime number?
(i)
1
(ii)
28
29
(iii)
13
14
(iv)
27
28
(v)
1
28
Question
6
6.
A survey of 90 men showed that only 50 of them know German. Out of these men, if one is selected at random, what is the probability that the selected man knows German?
(i)
4
9
(ii)
3
5
(iii)
2
3
(iv)
5
9
Question
7
7.
On a particular day, at a crossing in a city, the various types of 115 vehicles going past during a time-interval were observed as under:
Type of Vehicle
Two-wheeler
Four-wheeler
Three-wheeler
Frequency
25
30
60
Out of these vehicles, if one is choosen at random, what is the probability that the choosen vehicle is a 'Four-wheeler' ?
(i)
6
23
(ii)
17
23
(iii)
5
23
(iv)
7
24
(v)
7
23
Question
8
8.
The following table shows the blood-groups of 468 students of a class.
Blood group
B
AB
O
A
Number of students
45
126
144
153
One student of the class is choosen at random. What is the probability that the choosen student has blood group 'O' ?
(i)
5
13
(ii)
4
13
(iii)
3
13
(iv)
5
14
(v)
9
13
Question
9
9.
A single unbiased coin is tossed. Find the probability of getting a head.
(i)
3
4
(ii)
1
2
(iii)
4
5
(iv)
5
6
(v)
2
3
Question
10
10.
Two unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
2
(ii)
3
4
(iii)
4
5
(iv)
2
3
(v)
5
6
Question
11
11.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
(i)
1
4
(ii)
3
4
(iii)
4
5
(iv)
1
2
(v)
1
Question
12
12.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
1
4
(ii)
0
(iii)
3
4
(iv)
1
2
(v)
2
5
Question
13
13.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
(i)
3
4
(ii)
4
5
(iii)
1
4
(iv)
1
2
(v)
1
Question
14
14.
Two unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
1
4
(ii)
2
5
(iii)
3
4
(iv)
1
2
(v)
0
Question
15
15.
Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
2
(ii)
3
8
(iii)
4
9
(iv)
1
4
(v)
5
8
Question
16
16.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
(i)
3
4
(ii)
1
(iii)
7
8
(iv)
1
8
(v)
8
9
Question
17
17.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
1
2
(ii)
3
4
(iii)
4
5
(iv)
2
3
(v)
5
6
Question
18
18.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
(i)
3
4
(ii)
4
5
(iii)
5
6
(iv)
1
2
(v)
2
3
Question
19
19.
Three unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
1
8
(ii)
1
4
(iii)
7
8
(iv)
0
(v)
2
9
Question
20
20.
Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.
(i)
5
6
(ii)
1
6
(iii)
1
3
(iv)
0
(v)
2
7
Question
21
21.
Two unbiased dice are thrown simultaneously. Find the probability of getting 12 as the sum of the two numbers on the dice.
(i)
1
18
(ii)
35
36
(iii)
2
37
(iv)
1
36
(v)
0
Question
22
22.
Two unbiased dice are thrown simultaneously. Find the probability of getting at least 3 as the sum of the two numbers on the dice.
(i)
1
(ii)
17
18
(iii)
1
36
(iv)
36
37
(v)
35
36
Question
23
23.
A die is thrown twice. What is the probability that 5 will come up atleast once?
(i)
11
36
(ii)
25
36
(iii)
1
3
(iv)
5
18
(v)
12
37
Question
24
24.
A die is thrown twice. What is the probability that 1 will not come up either time?
(i)
13
18
(ii)
25
36
(iii)
11
36
(iv)
2
3
(v)
26
37
Question
25
25.
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?
(i)
1
26
(ii)
1
13
(iii)
1
4
(iv)
1
52
(v)
3
13
Question
26
26.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a red queen?
(i)
1
4
(ii)
1
26
(iii)
1
13
(iv)
3
13
(v)
1
52
Question
27
27.
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 of hearts?
(i)
3
13
(ii)
1
26
(iii)
1
52
(iv)
1
4
(v)
1
13
Question
28
28.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '7' of diamonds?
(i)
3
13
(ii)
1
52
(iii)
1
4
(iv)
1
13
(v)
1
26
Question
29
29.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is '4' of red suit ?
(i)
1
52
(ii)
1
4
(iii)
3
13
(iv)
1
13
(v)
1
26
Question
30
30.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a spades?
(i)
3
13
(ii)
1
13
(iii)
1
4
(iv)
1
26
(v)
1
52
Question
31
31.
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
52
(iv)
1
26
(v)
1
4
Question
32
32.
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 black card or a king?
(i)
3
13
(ii)
1
13
(iii)
7
13
(iv)
1
26
(v)
1
52
Question
33
33.
An unbiased die is thrown once. Find the probability of getting a prime number?
(i)
1
2
(ii)
2
3
(iii)
3
4
(iv)
5
6
(v)
4
5
Question
34
34.
An unbiased die is thrown once. Find the probability of getting an even number?
(i)
1
2
(ii)
5
6
(iii)
4
5
(iv)
3
4
(v)
2
3
Question
35
35.
An unbiased die is thrown once. Find the probability of getting a 5?
(i)
1
3
(ii)
5
6
(iii)
0
(iv)
2
7
(v)
1
6
Question
36
36.
An unbiased die is thrown once. Find the probability of getting a number greater than 1?
(i)
1
6
(ii)
5
6
(iii)
2
3
(iv)
1
(v)
6
7
Question
37
37.
An unbiased die is thrown once. Find the probability of getting a number less than 3?
(i)
1
3
(ii)
2
3
(iii)
0
(iv)
1
2
Question
38
38.
An unbiased die is thrown once. Find the probability of getting a number between 2 and 5?
(i)
0
(ii)
2
3
(iii)
1
3
(iv)
1
2
Question
39
39.
When two coins are tossed simultaneously, how many elementary events are possible?
(i)
5
(ii)
1
(iii)
7
(iv)
4
(v)
3
Question
40
40.
When two dice are thrown simultaneously, how many elementary events are possible?
(i)
35
(ii)
33
(iii)
37
(iv)
36
(v)
39
Question
41
41.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
(i)
54
(ii)
53
(iii)
52
(iv)
50
(v)
51
Question
42
42.
What is the probability of a sure event?
(i)
1
(ii)
1
4
(iii)
0
(iv)
3
4
(v)
1
2
Question
43
43.
What is the probability of an impossible event?
(i)
1
2
(ii)
1
(iii)
3
4
(iv)
0
(v)
1
4
Question
44
44.
Which of the following are true?
a)
Probability of getting 102 marks out of 100 is 1.02
b)
If the probability of failing the exam is 0.5, the probability of passing the exam is 0.5
c)
If the probability is too less, it will become negative
d)
The probability of an event that cannot happen is unknown
e)
The probability of an event that is very likely to happen is 1
(i)
{a,b}
(ii)
{b}
(iii)
{d,e,b}
(iv)
{c,b}
Question
45
45.
Which of the following experiments have equally likely outcomes?
a)
A true/false question is attempted. The answer is either right or wrong
b)
A ball is hit. It reaches the boundary or not
c)
A baby is born. It is a boy or girl
d)
A man throws a die. The number on the top is either 5 or not 5
e)
A man starts his vehicle. It starts or it does not starts
(i)
{b,a}
(ii)
{d,c}
(iii)
{d,c,a}
(iv)
{a,c}
(v)
{e,b,a}
Question
46
46.
Which of the following are possible values of probability?
a)
2
5
b)
0.38
c)
8
7
d)
4
e)
-2.4
(i)
{a,b}
(ii)
{c,a}
(iii)
{d,b,a}
(iv)
{e,c,a}
(v)
{d,b}
Question
47
47.
If P(E) =
0.75
, find P(
E
)
(i)
2.25
(ii)
0.25
(iii)
8.25
(iv)
7.25
(v)
1.25
Question
48
48.
Which of the following are true?
a)
The probability of an unsure event is 0
b)
The probability of an imposible event can be > 1
c)
For an event E, we have 0
≤
P(E)
≤
1
d)
The probability of a sure event is 1
e)
The probability of an impossible event is 1
(i)
{a,c}
(ii)
{b,d}
(iii)
{b,d,c}
(iv)
{c,d}
(v)
{e,a,c}
Question
49
49.
Which of the following are true?
a)
P(E) - P(not E) = 0
b)
P(E) = 1 - P(
E
)
c)
P(E) - P(
E
) = 0
d)
P(E) + P(
E
) = 0
e)
P(E) + P(not E) = 1
(i)
{b,e}
(ii)
{d,a,b}
(iii)
{c,e,b}
(iv)
{c,e}
(v)
{a,b}
Question
50
50.
A die is thrown 430 times. The number 6 appears on the upper face 76 times. Now the die is thrown at random. What is the probability of getting a 6 ?
(i)
177
215
(ii)
38
215
(iii)
39
215
(iv)
13
72
(v)
37
215
Question
51
51.
A die is thrown twice. What is the probability that 2 will not come up either time?
(i)
2
3
(ii)
13
18
(iii)
11
36
(iv)
26
37
(v)
25
36
Question
52
52.
A die is thrown twice. What is the probability that 2 will come atleast once?
(i)
11
36
(ii)
25
36
(iii)
1
3
(iv)
12
37
(v)
5
18
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (iii)
5) (iv)
6) (iv)
7) (i)
8) (ii)
9) (ii)
10) (i)
11) (ii)
12) (i)
13) (i)
14) (i)
15) (ii)
16) (iii)
17) (i)
18) (iv)
19) (i)
20) (ii)
21) (iv)
22) (v)
23) (i)
24) (ii)
25) (ii)
26) (ii)
27) (iii)
28) (ii)
29) (v)
30) (iii)
31) (i)
32) (iii)
33) (i)
34) (i)
35) (v)
36) (ii)
37) (i)
38) (iii)
39) (iv)
40) (iv)
41) (iii)
42) (i)
43) (iv)
44) (ii)
45) (iv)
46) (i)
47) (ii)
48) (iv)
49) (i)
50) (ii)
51) (v)
52) (i)
