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KCET2018MathematicsProbability

The probability of happening of an event ( A ) is ( 0.5 ) and that of ( B ) is ( 0.3 ). If ( A ) and ( B ) are mutually exclusiveevents, then the probability of neither A nor B is

Options

  1. A( 0.4 )
  2. B( 0.5 )
  3. C( 0.2 )
  4. D( 0.9 )

Correct answer

C. ( 0.2 )

Step-by-step solution

P(A)=0.5P(B)=0.3P(A B)=0P(A B)=P(A)+P(B)-P(A B)=0.5+0.3-0=0.8 P(A B)=1-P(A B)=1-0.8=0.2

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