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Byju's Answer
Standard XII
Mathematics
Intersection of Sets
Check whether...
Question
Check whether the probabilities
P
(
A
)
and
P
(
B
)
are consistently defined
P
(
A
)
=
0.5
,
P
(
B
)
=
0.7
,
P
(
A
∩
B
)
=
0.6
Open in App
Solution
P
(
A
)
=
0.5
P
(
B
)
=
0.7
P
(
A
∩
B
)
=
0.6
Since
P
(
A
∩
B
)
>
P
(
A
)
Thus its not consistent
Suggest Corrections
1
Similar questions
Q.
Check whether the following probabilities
P
(
A
)
and
P
(
B
)
are consistently defined
(i)
P
(
A
)
=
0.5
,
P
(
B
)
=
0.7
,
P
(
A
∩
B
)
=
0.6
(ii)
P
(
A
)
=
0.5
,
P
(
B
)
=
0.4
,
P
(
A
∪
B
)
=
0.8
Q.
If
P
(
A
)
=
0.6
,
P
(
B
)
=
0.7
and
P
(
A
∪
B
)
=
0.9
, then find
P
(
A
B
)
and
P
(
B
A
)
.
Q.
The probabilities of three events
A
,
B
and
C
are
P
(
A
)
=
0.6
,
P
(
B
)
=
0.4
,
P
(
C
)
=
0.5
,also
P
(
A
∪
B
)
=
0.8
,
P
(
A
∩
C
)
=
0.3
,
P
(
A
∪
B
∪
C
)
≥
0.85
,
P
(
A
∩
B
∩
C
)
=
0.2
and
P
(
B
∩
C
)
=
p
1
. Then
Q.
A, B are two events with positive probabilities. If
P
(
A
)
=
0.4
,
P
(
B
/
A
)
=
0.9
,
P
(
¯
B
/
¯
A
)
=
0.6
then
Q.
A
and
B
are events with
P
(
A
)
=
0.6
,
P
(
B
)
=
0.7
then compute
P
(
A
∩
B
)
.
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