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AP EAMCET202317 May 2023Evening ShiftMathematicsProbabilityActual

A and B are mutually exclusive events of a random experiment and P ( B ) 1 , then P ( A B ^ C )=

Options

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

Correct answer

A. P ( A ) 1- P ( B )

Step-by-step solution

A and B are mutually exclusive events. aligned & P(A B)=0 & Now, P (A B^c )= P (A B^c ) P (B^c ) = P(A)-P(A B) 1-P(B) & = P(A) 1-P(B) aligned

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