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AP EAMCET202316 May 2023Evening ShiftMathematicsProbabilityActual

If A , B and C are three events of a random experiment with P ( A )=0.4, P ( B )=0.3 and P ( A B )=0.2 , then the probability that neither A nor B occurs is

Options

  1. A0.5
  2. B0.15
  3. C0.13
  4. D0.12

Correct answer

A. 0.5

Step-by-step solution

Given, P ( A )=0.4, P ( B )=0.3 aligned & P(A B)=0.2 & Now, P(A B)=P(A)+P(B)-P(A B) & P(A B)=0.4+0.3-0.2=0.5 aligned Since, probability of neither A nor B occurs P ( A B )=1- P ( A B )=1-0.5=0.5

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