- #1

utkarshakash

Gold Member

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- 13

## 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.