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COMEDK2014MathematicsProbability

Given that, P(A)=0.1, P(B A)=0.6 and P (B A^ C )=0.3 what is P(A B)= ?

Options

  1. A2 11
  2. B4 11
  3. C7 11
  4. D9 11

Correct answer

A. 2 11

Step-by-step solution

Given, P(B A)=0.6 array llrl & & P(B A) P(A) = & =0.6 & & P(B A)=0.6 0.1=0.06 Also, & & P (B A^ C ) =0.3 & & P (B A^ C ) P (A^ C ) =0.3 & & P(B)-P(B A) 1-P(A) & =0.3 & & P(B)-0.06 0.9 & =0.3 & & P(B) & =0.33 array Now, P(A B)= P(A B) P(B) = 0.06 0.33 = 2 11

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