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Moderator Note: At the time that this question was posted, it was from an ongoing contest. The relevant deadline has now passed.

Suppose that I flip a coin $t$ times. How can I find a generalized formula for the probability that the number of tails I will get will be equivalent to $0$ mod $3$ ?

I have tried my hand at this problem- I believe that the result is related to $t$ mod $6$. I am not able to get a formula that works, other than that.

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    Do you know some stuff about complex numbers? And if you have found a formula that you can show works, why is that not satisfactory?2012-10-04
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    @AndréNicolas I don't have a working formula- only a hunch that it is related to tmod6.I know enough about complex numbers, yes.2012-10-04

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