1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Independent Events
IF PA=13, P...
Question
IF
P
(
A
)
=
1
3
,
P
(
B
)
=
1
12
and
P
(
A
∩
B
)
=
1
36
, are the events
A
and
B
independent ?
Open in App
Solution
Given,
P
(
A
)
=
1
3
P
(
B
)
=
1
12
P
(
A
∩
B
)
=
1
36
Now,
P
(
A
∩
B
)
=
P
(
A
)
×
P
(
B
)
Hence,
Events
A
and
B
are independents.
Suggest Corrections
0
Similar questions
Q.
Events
A
and
C
are independent. If the probabilities relating
A
,
B
and
C
are
P
(
A
)
=
1
5
,
P
(
B
)
=
1
6
,
P
(
A
∩
C
)
=
1
20
,
P
(
B
∪
C
)
=
3
8
then
Q.
Events A and C are independent. If the probability relating A, B and C are
P
(
A
)
=
1
/
5
,
P
(
B
)
=
1
/
6
;
P
(
A
∩
C
)
=
1
/
20.
P
(
B
∪
C
)
=
3
/
8
. Then
Q.
If
P
(
A
)
=
3
5
and
P
(
B
)
=
1
5
, find
P
(
A
∩
B
)
if A and B are independent events.
Q.
If
, find P (A ∩ B) if A and B are independent events.