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AP EAMCET202124 Aug 2021Evening ShiftMathematicsProbabilityActual

If A and B be independent events with P(A)= 1 3 and P(B)= 2 7 , then the value of P ( A B^C ) is

Options

  1. A1 3
  2. B2 7
  3. C2 21
  4. D5 21

Correct answer

A. 1 3

Step-by-step solution

Given, P(A)= 1 3 , P(B)= 2 7 P (A / B^ )= P (A B^ ) P (B^ ) = P(A)-P(A B) 1-P(B) = P(A)-P(A) P(B) 1-P(B) [ A and B are independent events ]= 1 3 - 1 3 2 7 1-2 / 7 = (7-2) 3(7-2) = 1 3

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