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AP EAMCET202125 Aug 2021Morning ShiftMathematicsProbabilityActual

If A, B are two events with P(A B)=0.65, P(A B)=0.15 , then find the value of P ( A ^ C )+ P ( B ^ C )

Options

  1. A0.8
  2. B1.0
  3. C1.2
  4. D1.4

Correct answer

C. 1.2

Step-by-step solution

Fact: P ( A B )= P ( A )+ P ( B )- P ( A B ) So P(A B)+P(A B)=P(A)+P(B) P ( A )+ P ( B )=0.65+0.15=0.8 , substitute the given values Therefore P ( A ^ C )+ P ( B ^ C )=1- P ( A )+1- P ( B )=2-[ P ( A )+ P ( B )]=2-0.8=1.2

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