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Engineering Maths · Q115

Probability and Statistics

Engineering and GATE · Engineering Maths · question 115

Q115

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}}}}}
Answer
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.

Answer: Option A

Solution

Answer: Option A
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