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

A) \[\frac{{\left( {\begin{array}{*{20}{c}} {2{\text{n}}} \\ {\text{n}} \end{array}} \right)}}{{{4^{\text{n}}}}}\] B) \[\frac{{\left( {\begin{array}{*{20}{c}} {2{\text{n}}} \\ {\text{n}} \end{array}} \right)}}{{{2^{\text{n}}}}}\] C) \[\frac{1}{{\left( {\begin{array}{*{20}{c}} {2{\text{n}}} \\ {\text{n}} \end{array}} \right)}}\] D) $$\frac{1}{2}$$

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Correct Answer: Option A

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For each element in a set of size 2n an unbiased...

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

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