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CBSE Questions for Class 9 Maths Probability Quiz 3 - MCQExams.com
CBSE
Class 9 Maths
Probability
Quiz 3
A ball is drawn at random from a box containing 10 red, 30 white, 20 blue and 15 orange marbles. The probability of a ball drawn is red, white or blue .......
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0%
1
3
0%
3
5
0%
2
3
0%
4
5
Explanation
Total number of balls in the box,
n
(
S
)
=
10
+
30
+
20
+
15
=
75
Number of red balls, 10
Number of white balls, 30
Number of blue balls, 20
Hence the number of favourable outcomes for getting a red, white or blue ball is,
n
(
E
)
=
10
+
30
+
20
=
60
Hence the probability of a ball drawn is red, white or blue is,
n
(
E
)
n
(
S
)
=
60
75
=
4
5
A die is thrown once. The probability of getting a number
3
or
4
is _________.
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0%
1
3
0%
2
3
0%
0
0%
1
Explanation
Possible outcomes on rolling a dice are
1
,
2
,
3
,
4
,
5
,
6
Favourable outcome is to get either
3
or
4
Probability
=
Favourable Outcomes
÷
Total Outcomes
=
2
6
=
1
3
When two dice are thrown simultaneously, the probability that the sum of the two numbers that turn up is less than
11
is:
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0%
11
12
0%
1
12
0%
2
12
0%
1
8
Explanation
Given: two dice are thrown
To find: the probability that the sum of the two numbers that turn up is less than
11
According to the question
n
(
S
)
=
6
×
6
=
36
Favourable outcomes for sum less than
11
is
{
(
1
,
1
)
,
(
1
,
2
)
,
(
1
,
3
)
,
(
1
,
4
)
,
(
1
,
5
)
,
(
1
,
6
)
,
(
2
,
1
)
,
(
2
,
2
)
,
(
2
,
3
)
,
(
2
,
4
)
,
(
2
,
5
)
,
(
2
,
6
)
,
(
3
,
1
)
,
(
3
,
2
)
,
(
3
,
3
)
,
(
3
,
4
)
,
(
3
,
5
)
,
(
3
,
6
)
,
(
4
,
1
)
,
(
4
,
2
)
,
(
4
,
3
)
,
(
4
,
4
)
,
(
4
,
5
)
,
(
4
,
6
)
,
(
5
,
1
)
,
(
5
,
2
)
,
(
5
,
3
)
,
(
5
,
4
)
,
(
5
,
5
)
,
(
6
,
1
)
,
(
6
,
2
)
,
(
6
,
3
)
,
(
6
,
4
)
}
⇒
n
(
E
)
=
33
Hence, the probability of getting a total less than
11
is
n
(
E
)
n
(
S
)
=
33
36
=
11
12
A bag contains 100 tickets bearing numbers 1-A ticked is taken out randomly, find the probability of getting a ticket bearing a number which is the multiple of 25.
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0%
0.5
0%
0.04
0%
1.0
0%
0.05
Explanation
Given that a bag contains
100
tickets having numbers from
1
to
100
.
To find out: The probability of getting a ticket having a number which is a multiple of
25
.
Hence, total number of tickets,
n
(
S
)
=
100
Numbers from
1
to
100
which are multiples of
25
:
25
,
50
,
75
,
100
Hence, total number of favourable outcomes,
n
(
E
)
=
4
.
We know that, probability
=
n
(
E
)
n
(
S
)
∴
The probability of getting a ticket having a number which is a multiple of
25
=
4
100
=
0.04
Hence, the required probability is
0.04
.
A pair of dies is thrown, find the probability of getting a total of numbers is more than
10
.
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0%
1
/
5
0%
1
/
12
0%
1
/
4
0%
2
/
7
When two dice are thrown simultaneously the probability that the sum of the two numbers that turn up is more than
11
is:
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0%
11
12
0%
1
36
0%
2
12
0%
1
8
Explanation
Given: two dice are thrown
To find the probability that the sum of the two numbers that turn up is more than
11
According to the question sample spaces
n
(
S
)
are
(
6
×
6
)
i.e.
36
Favorable outcomes for sum more than
11
is
{
(
6
,
6
)
}
⇒
n
(
E
)
=
1
Hence, the probability of getting a total more than
11
is,
n
(
E
)
n
(
S
)
=
1
36
A coin is tossed
12
times and the outcomes are observed as shown below : The chance of occurrence of head is
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0%
1
2
0%
5
12
0%
7
12
0%
5
7
Explanation
Probability is given by,
P
(
A
)
=
no. of possible outcomes
No. of total outcomes
Coin tossed =
12
times.
Head occurred on tossing coin=
5
times.
Therefore. the chance of occurrence of head=
N
o
.
o
f
t
i
m
e
s
h
e
a
d
a
p
p
e
a
r
e
d
N
o
.
o
f
t
i
m
e
s
c
o
i
n
t
o
s
s
e
d
=
5
12
Archaeological survey indicates that the odd of occurring earthquake in Greater Himalayan region due to Tehri Dam are
5
to
7
. What is the probability of earthquake in Greater Himalayan region?
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0%
11
12
0%
5
7
0%
7
12
0%
5
12
Explanation
The odd of occurring earthquake
=
5
to
7
∴
Total probability
=
5
+
7
=
12
Probability of earthquake
=
5
12
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