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Standard XII
Maths
Question
If S is the sample space for the event A then find the correct alternative from the following :
0
≥
P
(
A
)
≥
1
0
≤
P
(
A
)
<
1
0
<
P
(
A
)
≤
1
0
≤
P
(
A
)
≤
1
A
0
≥
P
(
A
)
≥
1
B
0
≤
P
(
A
)
<
1
C
0
<
P
(
A
)
≤
1
D
0
≤
P
(
A
)
≤
1
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Solution
Verified by Toppr
A be an event for the sample space S.
Then
P
(
A
)
=
n
(
A
)
n
(
S
)
Number of elements in A can be
0
i.e empty set or it can be less than S.
If A is the event which contains all the elements of S, then the probability of A will be
1
.
But no. of items in A can't be more than S, then probability can't be more than
1
,
Hence,
0
≤
P
(
A
)
≤
1
.
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Similar Questions
Q1
If the probability of an occurrence of an event A is denoted by P(A), then the range of P(A) is
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Q2
Question 17
If P(A) denotes the probability of an event A, then
(a) P(A) < 0
(b) P(A) > 1
(c)
0
≤
P
(
A
)
≤
1
(d)
−
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)
≤
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Q3
Mark the correct alternative in the following question:
If
A
and
B
are
two
events
such
that
P
A
≠
0
and
P
B
≠
1
,
then
P
A
|
B
=
a
1
-
P
A
|
B
b
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-
P
A
|
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c
1
-
P
A
∪
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d
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Q4
If A and B are two events in a sample space S such that
P
(
A
)
≠
0
and
P
(
B
)
≠
0
, then
P
(
A
∩
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)
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Q5
If A is any event in a sample space, then
P
(
¯
¯¯
¯
A
)
=
1
+
P
(
A
)
View Solution