For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin…

GATE · 2006 · CS

For each element in a set of size 2n, an unbiased coin is tossed. The 2n coin tosses are independent. An element is chosen if the corresponding coin toss is a Head. The probability that exactly n elements are chosen is:

  1. A.

    C(2n, n) / 4^n

  2. B.

    C(2n, n) / 2^n

  3. C.

    1 / C(2n, n)

  4. D.

    1/2

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Correct answer: A

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