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If P (A^ )=0 6, P(B)=0 8 and P(B / A)=0 3 , then P(A / B)=

Options

  1. A7 20
  2. B3 20
  3. C3 4
  4. D9 20

Correct answer

B. 3 20

Step-by-step solution

Given P (A^ )=0.6 P(A)=1-0.6=0.4, P(B)=0.8, P(B / A)=0.3 We know that P ( B / A )= P ( A B ) P ( A ) and P ( A / B )= P ( A B ) P ( B ) Here P(A B)=P(A) P(B / A)=(0.4)(0.3)=0.12 Also P(A B)=P(A / B) P(B) P ( A / B )= 0.12 0.8 = 12 80 = 3 20

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