Question

Stef and marieke play a gambling game. Marieke throws a coin and wins if she throws 'head'. Stef throws a dice and wins if he rolls '6'. They take turns playing. Marieke starts, then Stef and so on until one of them wins.
1.Calculate the probability that Marieke wins
2. does anything change the results if Stef started

Answer 1

1. .5
2. Stef has 1/6 chance of winning on first toss, 5/6 of not. After the 5/6, then Marieke again has 1/2 chance of winning. P(win) = 5/6 * 1/2