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MHT CET2008MathematicsSets and Relations

The chances to fail in Physics are 20 % and the chances to fail in Mathematics are 10 % . What are the chances to fail in at least one subject?

Options

  1. A28 %
  2. B38 %
  3. C72 %
  4. D82 %

Correct answer

A. 28 %

Step-by-step solution

Let P(A)= 20 100 = 1 5 , P(B)= 10 100 = 1 10 Since, event are independent and we have to find aligned P(A& B)=P(A)+P(B)-P(A) P(B) &= 1 5 + 1 10 - 1 5 1 10 &= 3 10 - 1 50 = 14 50 = 14 50 100=28 % aligned

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