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AP EAMCET202125 Aug 2021Evening ShiftMathematicsProbabilityActual

Given, P(A)=0.5, P(B)=0.4, P(A B)=0.3 , then P (A^ / B^ ) is equal to

Options

  1. A1 3
  2. B1 2
  3. C2 3
  4. D3 4

Correct answer

C. 2 3

Step-by-step solution

Given P(A)=0.5, P(B)=0.4 and P(A B)=0.3 To Find P (A^ / B^ )= ? First, we find P(A B) . gathered P(A B)=P(A)+P(B)-P(A B) =0.5+0.4-0.3=0.6 P (B^ )=1-P(B)=1-0.4=0.6 gathered aligned P(A B)^ = & 1-P(A B) = & 1-0.6=0.4 P (A^ / B^ ) & = P (A^ B^ ) P (B^ ) & = 1-P(A B) 1-P(B) = 0.4 0.6 = 2 3 aligned

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