EduSahara™ Assignment
Name : Probability1
Chapter : Probability
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
A coin is tossed 70 times and tail appears 35 times. If the coin is tossed again, what is the probability of getting a head?
(i)
5
6
(ii)
2
3
(iii)
1
2
(iv)
3
4
(v)
4
5
Question
2
2.
A coin is tossed 50 times and head appears 40 times. If the coin is tossed again, what is the probability of getting a tail?
(i)
0
(ii)
4
5
(iii)
1
5
(iv)
2
5
(v)
1
3
Question
3
3.
Two coins are tossed simultaneously 140 times and it was observed that both heads appeared 60 times. If two coins are tossed simultaneously at random, what is the probability of getting both heads?
(i)
2
7
(ii)
1
2
(iii)
3
7
(iv)
4
7
Question
4
4.
Two coins are tossed simultaneously 50 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)
1
5
(iii)
3
5
(iv)
2
5
Question
5
5.
A die is thrown 100 times. Prime numbers appeared on the upper face 85 times. If a die is thrown at random, what is the probability of getting a prime number?
(i)
9
10
(ii)
3
20
(iii)
17
20
(iv)
4
5
(v)
6
7
Question
6
6.
A survey of 50 men showed that only 40 of them know English. Out of these men, if one is selected at random, what is the probability that the selected man knows English?
(i)
1
(ii)
5
6
(iii)
4
5
(iv)
1
5
(v)
3
5
Question
7
7.
A single unbiased coin is tossed. Find the probability of getting a head.
(i)
4
5
(ii)
3
4
(iii)
5
6
(iv)
2
3
(v)
1
2
Question
8
8.
Two unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
2
(ii)
4
5
(iii)
3
4
(iv)
5
6
(v)
2
3
Question
9
9.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
(i)
4
5
(ii)
1
(iii)
1
2
(iv)
3
4
(v)
1
4
Question
10
10.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
1
4
(ii)
0
(iii)
1
2
(iv)
3
4
(v)
2
5
Question
11
11.
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
(v)
1
2
Question
12
12.
Two unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
1
2
(ii)
3
4
(iii)
0
(iv)
1
4
(v)
2
5
Question
13
13.
Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
2
(ii)
3
8
(iii)
5
8
(iv)
1
4
(v)
4
9
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)
8
9
(iv)
1
(v)
3
4
Question
15
15.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
4
5
(ii)
5
6
(iii)
2
3
(iv)
1
2
(v)
3
4
Question
16
16.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
(i)
3
4
(ii)
1
2
(iii)
5
6
(iv)
4
5
(v)
2
3
Question
17
17.
Three unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
0
(ii)
2
9
(iii)
7
8
(iv)
1
4
(v)
1
8
Question
18
18.
Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.
(i)
2
7
(ii)
1
6
(iii)
5
6
(iv)
1
3
(v)
0
Question
19
19.
Two unbiased dice are thrown simultaneously. Find the probability of getting 9 as the sum of the two numbers on the dice.
(i)
1
5
(ii)
8
9
(iii)
2
9
(iv)
0
(v)
1
9
Question
20
20.
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)
0
(ii)
1
(iii)
1
4
(iv)
3
4
(v)
1
2
Question
21
21.
A die is thrown twice. What is the probability that 2 will come up atleast once?
(i)
5
18
(ii)
11
36
(iii)
12
37
(iv)
25
36
(v)
1
3
Question
22
22.
A die is thrown twice. What is the probability that 1 will not come up either time?
(i)
2
3
(ii)
13
18
(iii)
25
36
(iv)
26
37
(v)
11
36
Question
23
23.
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)
3
13
(iii)
1
4
(iv)
1
13
(v)
1
52
Question
24
24.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a black queen?
(i)
3
13
(ii)
1
52
(iii)
1
13
(iv)
1
4
(v)
1
26
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 of spades?
(i)
1
4
(ii)
1
52
(iii)
1
26
(iv)
3
13
(v)
1
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 '8' of clubs?
(i)
1
4
(ii)
1
26
(iii)
1
13
(iv)
1
52
(v)
3
13
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 '8' of black suit ?
(i)
3
13
(ii)
1
13
(iii)
1
26
(iv)
1
52
(v)
1
4
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 a spades?
(i)
1
26
(ii)
1
13
(iii)
3
13
(iv)
1
4
(v)
1
52
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 a face card ?
(i)
1
4
(ii)
1
13
(iii)
3
13
(iv)
1
52
(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 either a red card or a jack?
(i)
3
13
(ii)
7
13
(iii)
1
52
(iv)
1
26
(v)
1
13
Question
31
31.
An unbiased die is thrown once. Find the probability of getting a prime number?
(i)
2
3
(ii)
1
2
(iii)
3
4
(iv)
5
6
(v)
4
5
Question
32
32.
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
33
33.
An unbiased die is thrown once. Find the probability of getting a 5?
(i)
1
6
(ii)
1
3
(iii)
5
6
(iv)
2
7
(v)
0
Question
34
34.
An unbiased die is thrown once. Find the probability of getting a number greater than 2?
(i)
1
3
(ii)
3
4
(iii)
1
(iv)
2
3
Question
35
35.
An unbiased die is thrown once. Find the probability of getting a number less than 4?
(i)
2
3
(ii)
4
5
(iii)
5
6
(iv)
3
4
(v)
1
2
Question
36
36.
An unbiased die is thrown once. Find the probability of getting a number between 1 and 5?
(i)
3
4
(ii)
1
2
(iii)
2
3
(iv)
5
6
(v)
4
5
Question
37
37.
When two coins are tossed simultaneously, how many elementary events are possible?
(i)
5
(ii)
4
(iii)
3
(iv)
2
(v)
6
Question
38
38.
When two dice are thrown simultaneously, how many elementary events are possible?
(i)
33
(ii)
35
(iii)
36
(iv)
37
(v)
39
Question
39
39.
When a card is selected randomly out of a pack of cards, how many elementary events are possible?
(i)
55
(ii)
50
(iii)
51
(iv)
53
(v)
52
Question
40
40.
What is the probability of a sure event?
(i)
3
4
(ii)
1
4
(iii)
1
(iv)
1
2
(v)
0
Question
41
41.
What is the probability of an impossible event?
(i)
1
(ii)
1
4
(iii)
0
(iv)
1
2
(v)
3
4
Question
42
42.
Which of the following are true?
a)
If the probability is too less, it will become negative
b)
Probability of getting 103 marks out of 100 is 1.03
c)
The probability of an event that is very likely to happen is 1
d)
If the probability of failing the exam is 0.5, the probability of passing the exam is 0.5
e)
The probability of an event that cannot happen is unknown
(i)
{a,d}
(ii)
{d}
(iii)
{b,d}
(iv)
{c,e,d}
Question
43
43.
Which of the following experiments have equally likely outcomes?
a)
A man starts his vehicle. It starts or it does not starts
b)
A true/false question is attempted. The answer is either right or wrong
c)
A man throws a die. The number on the top is either 2 or not 2
d)
A baby is born. It is a boy or girl
e)
A ball is hit. It reaches the boundary or not
(i)
{c,d}
(ii)
{a,b}
(iii)
{b,d}
(iv)
{e,a,b}
(v)
{c,d,b}
Question
44
44.
Which of the following are possible values of probability?
a)
-5.2
b)
8
7
c)
0.83
d)
4
e)
2
8
(i)
{d,a,c}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{b,e,c}
(v)
{a,c}
Question
45
45.
If P(E) =
0.5
, find P(
E
)
(i)
2.5
(ii)
0.5
(iii)
1.5
(iv)
8.5
(v)
7.5
Question
46
46.
Which of the following are true?
a)
The probability of an imposible event can be > 1
b)
The probability of an impossible event is 1
c)
The probability of a sure event is 1
d)
The probability of an unsure event is 0
e)
For an event E, we have 0
≤
P(E)
≤
1
(i)
{d,a,c}
(ii)
{b,e}
(iii)
{a,c}
(iv)
{c,e}
(v)
{b,e,c}
Question
47
47.
Which of the following are true?
a)
P(E) - P(not E) = 0
b)
P(E) - P(
E
) = 0
c)
P(E) = 1 - P(
E
)
d)
P(E) + P(not E) = 1
e)
P(E) + P(
E
) = 0
(i)
{c,d}
(ii)
{e,a,c}
(iii)
{b,d,c}
(iv)
{b,d}
(v)
{a,c}
Question
48
48.
A die is thrown 340 times. The number 2 appears on the upper face 64 times. Now the die is thrown at random. What is the probability of getting a 2 ?
(i)
1
5
(ii)
17
86
(iii)
69
85
(iv)
3
17
(v)
16
85
Question
49
49.
198 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
45
63
90
Compute the probability of the family, chosen at random, having 2 girls.
(i)
1
2
(ii)
6
11
(iii)
5
11
(iv)
4
11
Question
50
50.
Three coins are tossed simultaneously 285 times with the following frequencies of different outcomes :
Outcome
3 heads
2 heads
1 heads
No heads
Frequency
40
55
80
110
If the three coins are simultaneously tossed again, compute the probability of '2 heads' coming up.
(i)
46
57
(ii)
4
19
(iii)
10
57
(iv)
11
57
(v)
6
29
Question
51
51.
A die is thrown 375 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
35
40
60
65
70
105
If the die is thrown again randomly, find the probability of getting 1 as outcome.
(i)
2
25
(ii)
8
75
(iii)
2
19
(iv)
68
75
(v)
7
75
Question
52
52.
A die is thrown twice. What is the probability that 5 will not come up either time?
(i)
11
36
(ii)
25
36
(iii)
13
18
(iv)
26
37
(v)
2
3
Question
53
53.
A die is thrown twice. What is the probability that 2 will come atleast once?
(i)
5
18
(ii)
11
36
(iii)
12
37
(iv)
1
3
(v)
25
36
Assignment Key
1) (iii)
2) (iii)
3) (iii)
4) (iv)
5) (iii)
6) (iii)
7) (v)
8) (i)
9) (iv)
10) (i)
11) (i)
12) (iv)
13) (ii)
14) (ii)
15) (iv)
16) (ii)
17) (v)
18) (ii)
19) (v)
20) (ii)
21) (ii)
22) (iii)
23) (iv)
24) (v)
25) (ii)
26) (iv)
27) (iii)
28) (iv)
29) (iii)
30) (ii)
31) (ii)
32) (i)
33) (i)
34) (iv)
35) (v)
36) (ii)
37) (ii)
38) (iii)
39) (v)
40) (iii)
41) (iii)
42) (ii)
43) (iii)
44) (ii)
45) (ii)
46) (iv)
47) (i)
48) (v)
49) (iii)
50) (iv)
51) (v)
52) (ii)
53) (ii)
