Q87 / 180 · KCET 2014 · Mathematics

\( A \) 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

  • A
    \( 0 \) and \( 1 \)
  • Correct answer
    B
    \( 1,0 \)
  • C
    \( 1,1 \)
  • D
    \( 0,0 \)

Solution

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, $P(B)=0$

Hence, the correct answer is option: 'B'.

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