Here's a question from my homework that I'm stuck on:

Gunter tosses a die first, then Vlad. They repeat this until someone tosses a four, which means that person wins. Find the probability that Gunter wins, and the probability that Vlad wins.

For Gunter to win, wouldn't the probability just be 1/6, and for Vlad, the probability would be 5/6 * 1/6?