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If A and B are events such that P (A B)=0.5 , P( B )=0.8 and P(A B)=0.4 , then what is P(A B) equal to?

Options

  1. A0.08
  2. B0.02
  3. C0.8
  4. D0.2

Correct answer

A. 0.08

Step-by-step solution

array rlrl & Since & P ( B ) & =0.8 & P ( B ) & =1- P ( B ) & =1-0.8=0.2 & & Now & P ( A / B ) & = P ( A )=0.4 Now & P ( A B ) & = P ( A ) . P ( B ) & & =0.4 0.2=0.08 array

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