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\( A \) and \( B \) are two events such that \( P(A) \neq 0, P(B / A) \) if ,
(i) \( A \) is a subset of \( B \)
(ii) \( A \cap B=\Phi \) are respectively
Options:
(i) \( A \) is a subset of \( B \)
(ii) \( A \cap B=\Phi \) are respectively
Solution:
2741 Upvotes
Verified Answer
The correct answer is:
\( 1,0 \)
Given that $P(A) \neq 0$
We know that
$P(B \mid A)=\frac{P(A \cap B)}{P(A)}$
So, $P(B \mid A)=0$
Since $P(A) \neq 0$ then $P(A)=1$
Now, $P(A \cap B)=0$
Since $A \cap B=\phi$
So, $P(B)=0$
We know that
$P(B \mid A)=\frac{P(A \cap B)}{P(A)}$
So, $P(B \mid A)=0$
Since $P(A) \neq 0$ then $P(A)=1$
Now, $P(A \cap B)=0$
Since $A \cap B=\phi$
So, $P(B)=0$
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