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COMEDK2014MathematicsProbability

If the occurrence of an event A implies that occurrence of an event B , the P (A^ C B^ C ) is equal to

Options

  1. AP (B^ C )
  2. BP (A^ C ) P (B^ C )
  3. CP (A^ C )
  4. D1-P(A B)

Correct answer

A. P (B^ C )

Step-by-step solution

P (A^ C B^ C )=P ((A B)^ C )=1-P(A B) Since, probability of occurrence of an event A implies the occurrence of event B , aligned & A B A B=B & P (A^ C B^ C )=1-P(B)=P (B^ C ) aligned

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