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KCET2014MathematicsDefinite Integration

If the events ( A ) and ( B ) are independent if ( P (A^ )= 2 3 ) and ( P (B^ )= 2 7 ), then ( P(A B) ) is equal to O examsnet com

Options

  1. A( 5 21 )
  2. B( 3 21 )
  3. C( 4 21 )
  4. D( 1 21 )

Correct answer

A. ( 5 21 )

Step-by-step solution

Given that, events ( A ) and ( B ) are independent events, [ array l P(A)= 2 3 and P(B)= 2 7 P(A B)=P(A) P(B) =[1-P(A)][1-P(B)] = (1- 2 3 ) (1- 2 7 ) = 1 3 5 7 = 5 21 array ]

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