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AP EAMCET202319 May 2023Morning ShiftMathematicsProbabilityActual

If A and B are two events of a random experiment such that P(A B)=0.65 and P(A B)=0.15 , then P ( A )+ P ( B )=

Options

  1. A0.5
  2. B1.0
  3. C1.2
  4. D0.8

Correct answer

C. 1.2

Step-by-step solution

Since we know that aligned & P(A B)=P(A)+P(B)-P(A B) & P(A)+P(B)=P(A B)+P(A B) & P(A)+P(B)=0.65+0.15=0.8 aligned we also know that aligned & P( A )+P( B )=(1-P(A))+(1-P(B)) & =2-[P(A)+P(B)] & =2-0.8=1.2 aligned

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