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Let A and B be two events such that P ( A B ) 0.75 and 0.125 P ( A B ) 0.375 . What is the maximum value of P ( A )+ P ( B ) ?

Options

  1. A0.75
  2. B1.125
  3. C1.375
  4. D1.625

Correct answer

B. 1.125

Step-by-step solution

Given : P ( A B ) 0.75 and 0.125 P ( A B ) 0.375 P ( A B ) 0.375 aligned & P ( A )+ P ( B )- P ( A B ) 0.375 & P ( A )+ P ( B ) 0.375+ P ( A B ) & P ( A )+ P ( B ) 0.375+0.75 & P ( A )+ P ( B ) 1.125 aligned Maximum value of P ( A )+ P ( B )=1.125 .

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