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AP EAMCET20227 Jul 2022Morning ShiftMathematicsProbabilityActual

If A and B are two independent events such that P(A)=0.3, P(B)=x and P(A B)=0.44 , then x=

Options

  1. A0.1
  2. B0.4
  3. C0.3
  4. D0.2

Correct answer

D. 0.2

Step-by-step solution

P(A B)=P(A)+P(B)-P(A B) 0.44=0.3+x-P(A B) 0.44-0.30=x-(P(A) P(B)) aligned 0.14= & x-(0.3 x) & [ A and B are independent events and aligned P(A) P(B)=P(A B)] aligned & =0.7 x=0.14 x & = 0.14 0.7 =0.2 aligned

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