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If A and B are any two events such that P( A )=0.4 , P ( B )=0.3, P ( A B )=0.9 , then what is the value of P ( A B ) equal to?

Options

  1. A0.2
  2. B0.5
  3. C0.6
  4. D0.7

Correct answer

C. 0.6

Step-by-step solution

aligned & P ( A B )= P ( A )+ P ( B )- P ( A B ) &= P ( A )+ P ( B )- P ( A B ) aligned = P ( A )+ P ( B )-(1- P ( A B ))=.4+.3-(1-.9)=.6

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