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AP EAMCET202021 Sep 2020Evening ShiftMathematicsProbabilityActual

For any two events, (A, B ) if (P(A B)=a P(A B)+b P(A)+c P(B) ), then (3 a+2 b+5 c= ) ?

Options

  1. A2
  2. B4
  3. C3
  4. D1

Correct answer

B. 4

Step-by-step solution

As we know for any two events (A ) and (B ) (P(A B)=P(A)+P(B)-P(A B) ) Now, on comparing with the given equation (P(A B)=a P(A B)+b P(A)+c P(B) ) Then, we get (a=-1, b=1, c=1 ) ( 3 a+2 b+5 c=3(-1)+2+5=4 ) Hence, option (b) is correct.

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