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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 minimum value of P ( A )+ P ( B ) ?

Options

  1. A0.625
  2. B0.750
  3. C0.825
  4. D0.875

Correct answer

D. 0.875

Step-by-step solution

Given : P ( A B ) 0.75 and 0.125 P ( A B ) 0.375 P ( A B ) 0.75 aligned & P ( A )+ P ( B )- P ( A B ) 0.75 & P ( A )+ P ( B ) 0.75+ P ( A B ) & P ( A )+ P ( B ) 0.75+0.125 & P ( A )+ P ( B ) 0.875 aligned Minimum value of P ( A )+ P ( B )=0.875 .

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