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MHT CET2009MathematicsProbability

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

aligned P (A^ B^ )=& P (A^ B^ ) P (B^ ) &= P(A B)^ P (B^ ) &= 1-P(A B) 1-P(B) &= 1-[P(A)+P(B)-P(A B)] 1-P(B) &= 1-[0.5+0.4-0.3] 1-0.4 &= 0.4 0.6 &= 2 3 aligned

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