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AP EAMCET2009MathematicsProbability

If A and B are events of a random experiment such that P(A B)= 4 5 , P( A B )= 7 10 and P(B)= 2 5 , then P(A) equals

Options

  1. A9 10
  2. B8 10
  3. C7 10
  4. D3 5

Correct answer

C. 7 10

Step-by-step solution

aligned & Given, P( A B )=P( A B )= 7 10 & Since, P(A B)+P( A B )=1 aligned array ll P(A B)=1- 7 10 = 3 10 Also, P(A B)=P(A)+P(B)-P(A B) array aligned 4 5 & =P(A)+ 2 5 - 3 10 P(A) & = 4 5 - 2 5 + 3 10 & = 2 5 + 3 10 = 7 10 aligned

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