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KCET2021MathematicsProbability

If P(A)=0.59, P(B)=0.30 and P(A B)=0.21 then P (A^ B^ ) is equal to

Options

  1. A0.11
  2. B0.38
  3. C0.32
  4. D0.35

Correct answer

C. 0.32

Step-by-step solution

Given, P(A)=0.59, P(B)=0.30 and P(A B)=0.21 aligned P (A^ B^ ) &=1-P(A B) [ De Morgan's law ] =& 1-[P(A)+P(B)-P(A B)] =& 1-[0.59+0.30-0.21] =& 1-[0.89-0.21] =& 1-0.68=0.32 aligned

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