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KCET2025MathematicsProbability

If A and B are two events such that A B and P(B) 0 , then which of the following is correct?

Options

  1. AP ( A B )= P ( B ) P ( A )
  2. BP ( A B ) P ( A )
  3. CP ( A B ) P ( A )
  4. DP ( A )= P ( B )

Correct answer

C. P ( A B ) P ( A )

Step-by-step solution

aligned & A B A B = A & P ( A B )= P ( A B ) P ( B ) & = P ( A ) P ( B ) & P ( A B ) P ( B )= P ( A ) P ( A ) P ( A B ) & [ P ( B ) 0] aligned

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