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GUJCET · Maths · Probability

If A and B are two events such that \(P ( A ) \neq 0\) and \(P ( B \mid A )=1\) then, _________ .

  1. A \(B \subset A\)
  2. B \(A =\varnothing\)
  3. C \(B =\varnothing\)
  4. D \(A \subset B\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(A \subset B\)

Step-by-step Solution

Detailed explanation

\(P ( B \mid A ) = \frac{P ( A \cap B )}{P ( A )}\) \(1 = \frac{P ( A \cap B )}{P ( A )}\)