Question

Amy and Brad take turns rolling a fair six-sided die. Whoever rolls a “6” first, wins the game. Amy starts by rolling first.

Answer 1

What’s the probability that Amy wins on her first roll? Let’s play out the scenario. If she loses, then Brad must lose his first roll for Amy to have a chance to win again.

You know the probability that Amy wins on her first roll is ⅙. What is then the probability of Amy winning on the 3rd roll? 5th roll?