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AP EAMCET202315 May 2023Morning ShiftMathematicsProbabilityActual

If two subsets A and B are selected at random from a set S containing n elements, then the probability that A B = and A B = S , is

Options

  1. A1 2^n
  2. B2^n
  3. C1 2^ n +1
  4. D1 2^n 2^n

Correct answer

A. 1 2^n

Step-by-step solution

Given that S contains n elements and two sets A and B are selected. Two set A and B can be selected in 2^n ways. The no. of ways of selecting two sets such that their union is S and intersection is 2^n . Therefore the probability = 2^n 2^n 2^n = 1 2^n

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