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If A and B are two events such that P( not A)= 7 10 , P( not B)= 3 10 and P(A B)= 3 14 , then what is P(B A) equal to?

Options

  1. A11 14
  2. B9 14
  3. C1 4
  4. D1 2

Correct answer

D. 1 2

Step-by-step solution

aligned & P( not A)= 7 10 , P( not B)= 3 10 , P(A / B)= 3 14 & Now , P(A / B)= P(A B) P(B) P(A B)=P(B) P(A / B) & P(A B)=[1-P( not B)] P(A / B)= (1- 3 10 ) ( 3 14 ) & = 7 10 3 14 = 3 20 & P(B / A)= P(A B) P(A) = P(A B) 1-P( not A) = 3 20 1- 7 10 & = 3 20 10 3 & P(B / A)=1 / 2 aligned

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