EduSahara™ Assignment
Name : Chance and Probability
Chapter : Data Handling
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
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
2
2.
Two unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
2
(ii)
4
5
(iii)
5
6
(iv)
3
4
(v)
2
3
Question
3
3.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
(i)
3
4
(ii)
1
(iii)
1
2
(iv)
1
4
(v)
4
5
Question
4
4.
Two unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
1
4
(ii)
0
(iii)
2
5
(iv)
3
4
(v)
1
2
Question
5
5.
Two unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
(i)
1
(ii)
4
5
(iii)
1
4
(iv)
1
2
(v)
3
4
Question
6
6.
Two unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
3
4
(ii)
1
4
(iii)
0
(iv)
2
5
(v)
1
2
Question
7
7.
Three unbiased coins are tossed simultaneously. Find the probability of getting exactly one head.
(i)
1
4
(ii)
4
9
(iii)
5
8
(iv)
3
8
(v)
1
2
Question
8
8.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least one head.
(i)
3
4
(ii)
8
9
(iii)
1
8
(iv)
1
(v)
7
8
Question
9
9.
Three unbiased coins are tossed simultaneously. Find the probability of getting at least two heads.
(i)
5
6
(ii)
2
3
(iii)
1
2
(iv)
4
5
(v)
3
4
Question
10
10.
Three unbiased coins are tossed simultaneously. Find the probability of getting at most one head.
(i)
4
5
(ii)
2
3
(iii)
5
6
(iv)
3
4
(v)
1
2
Question
11
11.
Three unbiased coins are tossed simultaneously. Find the probability of getting no head.
(i)
7
8
(ii)
1
4
(iii)
0
(iv)
2
9
(v)
1
8
Question
12
12.
Two unbiased dice are thrown simultaneously. Find the probability of getting a doublet.
(i)
5
6
(ii)
1
3
(iii)
2
7
(iv)
0
(v)
1
6
Question
13
13.
Two unbiased dice are thrown simultaneously. Find the probability of getting 11 as the sum of the two numbers on the dice.
(i)
0
(ii)
1
18
(iii)
1
9
(iv)
17
18
(v)
2
19
Question
14
14.
A die is thrown twice. What is the probability that 4 will come up atleast once?
(i)
12
37
(ii)
11
36
(iii)
5
18
(iv)
1
3
(v)
25
36
Question
15
15.
A die is thrown twice. What is the probability that 2 will not come up either time?
(i)
26
37
(ii)
13
18
(iii)
11
36
(iv)
2
3
(v)
25
36
Question
16
16.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a jack?
(i)
1
13
(ii)
1
4
(iii)
1
26
(iv)
1
52
(v)
3
13
Question
17
17.
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)
1
52
(v)
3
13
Question
18
18.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a jack of spades?
(i)
1
26
(ii)
1
13
(iii)
1
52
(iv)
1
4
(v)
3
13
Question
19
19.
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 hearts?
(i)
1
52
(ii)
1
13
(iii)
3
13
(iv)
1
4
(v)
1
26
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 '7' of red suit ?
(i)
3
13
(ii)
1
26
(iii)
1
4
(iv)
1
13
(v)
1
52
Question
21
21.
One card is drawn at random from a well shuffled deck of 52 cards. What is the probability that the card drawn is a diamonds?
(i)
1
13
(ii)
1
52
(iii)
1
4
(iv)
1
26
(v)
3
13
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 a face card ?
(i)
1
4
(ii)
1
26
(iii)
1
52
(iv)
3
13
(v)
1
13
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 either a black card or a queen?
(i)
1
13
(ii)
1
52
(iii)
3
13
(iv)
1
26
(v)
7
13
Question
24
24.
An unbiased die is thrown once. Find the probability of getting a prime number?
(i)
2
3
(ii)
4
5
(iii)
1
2
(iv)
5
6
(v)
3
4
Question
25
25.
An unbiased die is thrown once. Find the probability of getting an even number?
(i)
1
2
(ii)
2
3
(iii)
3
4
(iv)
5
6
(v)
4
5
Question
26
26.
An unbiased die is thrown once. Find the probability of getting a 2?
(i)
1
6
(ii)
0
(iii)
2
7
(iv)
1
3
(v)
5
6
Question
27
27.
An unbiased die is thrown once. Find the probability of getting a number greater than 4?
(i)
0
(ii)
1
3
(iii)
2
3
(iv)
1
2
Question
28
28.
An unbiased die is thrown once. Find the probability of getting a number less than 6?
(i)
5
6
(ii)
1
6
(iii)
1
(iv)
2
3
(v)
6
7
Question
29
29.
An unbiased die is thrown once. Find the probability of getting a number between 2 and 5?
(i)
0
(ii)
1
3
(iii)
2
3
(iv)
1
2
Question
30
30.
A box contains 24 gray balls, 26 white balls, 6 yellow balls and 30 pink balls. One ball is drawn at random from the box. Find the probability that the ball drawn is gray.
(i)
11
43
(ii)
13
44
(iii)
12
43
(iv)
13
43
(v)
31
43
Question
31
31.
A box contains 26 yellow marbles, 14 white marbles, 24 pink marbles and 8 gray marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is not pink.
(i)
2
3
(ii)
3
4
(iii)
1
3
(iv)
1
Question
32
32.
A box contains 60 black marbles, 15 red marbles, 55 white marbles and 30 pink marbles. One marble is drawn at random from the box. Find the probability that the marble drawn is black or pink.
(i)
7
16
(ii)
10
17
(iii)
1
2
(iv)
9
16
(v)
5
8
Question
33
33.
A box contains 26 gray balls, 30 white balls, 18 blue balls and 2 yellow balls. One ball is drawn at random from the box. Find the probability that the ball drawn is neither white nor blue.
(i)
6
19
(ii)
7
19
(iii)
12
19
(iv)
2
5
(v)
8
19
Question
34
34.
Which of the following experiments have equally likely outcomes?
a)
A ball is hit. It reaches the boundary or not
b)
A baby is born. It is a boy or girl
c)
A man throws a die. The number on the top is either 5 or not 5
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,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{c,d,b}
(v)
{b,d}
Question
35
35.
A box contains 40 discs which are numbered from 1 to 40. If one disc is drawn at random from the box, find the probability that it bears a two-digit number.
(i)
31
40
(ii)
9
40
(iii)
4
5
(iv)
3
4
(v)
32
41
Question
36
36.
A box contains 70 discs which are numbered from 1 to 70. If one disc is drawn at random from the box, find the probability that it bears a perfect square number.
(i)
4
35
(ii)
31
35
(iii)
3
35
(iv)
5
36
(v)
1
7
Question
37
37.
57 cards are numbered 1,2,3,....57 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 an odd number?
(i)
29
57
(ii)
15
29
(iii)
10
19
(iv)
28
57
Question
38
38.
85 cards are numbered 1,2,3,....85 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 less then 14?
(i)
14
85
(ii)
13
85
(iii)
72
85
(iv)
7
43
(v)
12
85
Assignment Key
1) (v)
2) (i)
3) (i)
4) (i)
5) (v)
6) (ii)
7) (iv)
8) (v)
9) (iii)
10) (v)
11) (v)
12) (v)
13) (ii)
14) (ii)
15) (v)
16) (i)
17) (ii)
18) (iii)
19) (i)
20) (ii)
21) (iii)
22) (iv)
23) (v)
24) (iii)
25) (i)
26) (i)
27) (ii)
28) (i)
29) (ii)
30) (iii)
31) (i)
32) (iv)
33) (ii)
34) (v)
35) (i)
36) (i)
37) (i)
38) (ii)
