Originally Posted by

**Greg98** The problem is following:

A and B takes turns throwing a dice. A begins. Who throws six first wins. What's the probability that A wins?

I tried to examine probabilities that A wins on different rounds. Something like this:

1. $\displaystyle

\frac{1}{6}

$

2. $\displaystyle

\frac{5}{6}*\frac{5}{6}*\frac{1}{6}

$

3. $\displaystyle

\frac{5}{6}*\frac{5}{6}*\frac{5}{6}*\frac{5}{6}*\f rac{1}{6}

$

But I can't solve the general form (or something). I think it has something to do with binomial probability and geometric series... Any help is appreciated, thanks!