- #1
utkarshakash
Gold Member
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Homework Statement
A die is thrown n times(n being odd). The probability that even face turns odd number of times is
Homework Equations
The Attempt at a Solution
The probability that even face appears is 1/2 and odd face appears is 1/2. From any of the n throws, the even face can appear 1, 3, 5 ... or n times. Thus the required probability is
[itex]\dfrac{1}{2^n} [^nC_1+^nC_3+^nC_5+...+^nC_n][/itex]
But I don't know how to sum this series.