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KCET2017MathematicsApplication of Derivatives

Two events ( A ) and ( B ) will be independent if

Options

  1. A( A ) and ( B ) are mutually exclusive
  2. B( P (A^ B^ )=(1-P(A))(1-P(B)) )
  3. C( P(A)=P(B) )
  4. D( P(A)+P(B)=1 )

Correct answer

B. ( P (A^ B^ )=(1-P(A))(1-P(B)) )

Step-by-step solution

For two events ( A ) and ( B ) are independent events. ( S o, A^ ) and ( B^ ) are also independent. Then [ array l P (A^ B^ )=P (A^ ) P (B^ ) =(1-P(A))(1-P(B)) array ]

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