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Manipal MET2020MathematicsProbability

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

Options

  1. AP(A)+P(B)=0
  2. BP(A)+P(B)=P(A) P(B / A)
  3. CP(A)+P(B)=2 P(A) P(B / A)
  4. DNone of the above

Correct answer

C. P(A)+P(B)=2 P(A) P(B / A)

Step-by-step solution

Given, P(A B)^ =P(A B) P(A)+P(B)-P(A B)=P(A B) P(A)+P(B)=2 P(A B) P(A)+P(B)=2 P(A B) P(A)+P(B)=2 P(A) P(B / A) [ P(B / A)= P(A B) P(A) ]

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