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KCET2019MathematicsProbability

If ( A ) and ( B ) are two events of a sample space ( S ) such that ( P(A)=0.2, P(B)=0.6 ) and ( P(A B)= ) ( 0.5 ) then ( P (A^ B )= )

Options

  1. A( 2 3 )
  2. B( 1 3 )
  3. C( 3 10 )
  4. D( 1 2 )

Correct answer

D. ( 1 2 )

Step-by-step solution

(D) [ array l P(A)=0.2, P(B)=0.6 P(A B)=0.5 P(A B) P(B) =0.5 P(A B)=0.5(P(B))=(0.5)(0.6)=0.3 P (A^ B )= P (A^ B ) P(B) = P(B)-P(A B) P(B) = 0.6-0.3 0.6 = 0.3 0.6 = 3 6 = 1 2 array ]

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