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Let events and satisfy and
MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability
Problem
Let events
A
A
A
and
B
B
B
satisfy
P
(
A
)
=
p
>
0
P(A)=p>0
P
(
A
)
=
p
>
0
and
P
(
B
)
=
q
>
0
P(B)=q>0
P
(
B
)
=
q
>
0
. Prove that
A
A
A
and
B
B
B
cannot be both mutually exclusive and independent unless at least one of
p
p
p
or
q
q
q
is zero.
Related theory
Probability Rules
Independent Events
Independence
Probability
Conditional probability
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