BITSAT2010MathematicsTrigonometric Ratios & IdentitiesActual

If ( P ( A B )= 2 3 , P ( A B )= 1 6 ) and ( P ( A )= 1 3 ) then

Options

AA and ( B ) are independent events
BA and ( B ) are disjoint events
CA and ( B ) are dependent events
DNone of these

Correct answer

A. A and ( B ) are independent events

Step-by-step solution

( P ( A B )= P ( A )+ P ( B )- P ( AB ) ) ( 2 3 = 1 3 + P ( B )- 1 6 P ( B )= 1 2 ) Now, ( P ( AB )= P ( A )~ P ( B ), A ) and ( B ) are independent events.

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