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Byju's Answer
Standard XII
Mathematics
Exhaustive Events
If A, B and...
Question
If
A
,
B
and
C
are mutually exclusive and exhaustive events, then
P
(
A
)
+
P
(
B
)
+
P
(
C
)
equals to -
A
1
3
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B
1
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C
0
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D
Any value between
0
and
1
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Solution
The correct option is
A
1
Given
A
,
B
,
C
are mutually exclusive and exhaustive events
When
A
,
B
,
C
are mutually exclusive events,
⇒
P
(
A
∪
B
∪
C
)
=
P
(
A
)
+
P
(
B
)
+
P
(
C
)
When
A
,
B
,
C
are exheustive event,
⇒
P
(
A
)
+
P
(
B
)
+
P
(
C
)
=
1
Hence, the answer is probability always
1.
Suggest Corrections
0
Similar questions
Q.
If A, B and C are three mutually exclusive and exhaustive events. Find P(A), if P(B) =
3
2
P(A) and P(C) =
1
2
P
(
B
)
.
Q.
If events are mutually exclusive and
P
(
A
)
=
1
3
,
P
(
B
)
=
1
3
,
P
(
C
)
=
1
4
, then
P
(
A
′
∩
B
′
∩
C
′
)
is equal to
Q.
A,B and C are three mutually exclusive and exhaustive events and
P
(
B
)
=
3
2
P
(
A
)
,
P
(
C
)
=
1
3
P
(
B
)
then the value of
P
(
A
)
is
Q.
Assertion :If A, B, C are three events such that
P
(
A
)
=
1
4
,
P
(
B
)
=
1
6
&
P
(
C
)
=
2
3
then events A, B, C are mutually exclusive. Reason: If
P
(
A
∪
B
∪
C
)
=
P
(
A
)
+
P
(
B
)
+
P
(
C
)
then A, B, C are mutually exclusive events.
Q.
If A, B, C are mutually exclusive and exhaustive events associated to a random experiment, then write the value of P (A) + P (B) + P (C).
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