# You play the following game: You bet $1, a fair die is rolled and if it shows 6 you win$4, otherwise you lose your dollar. If you must choose the number of rounds in advance, how should you choose it to maximize your chance of being ahead (having won more than you have lost) when you quit, and what is the probability of this?

Question

You play the following game: You bet $1, a fair die is rolled and if it shows 6 you win$4, otherwise you lose your dollar. If you must choose the number of rounds in advance, how should you choose it to maximize your chance of being ahead (having won more than you have lost) when you quit, and what is the probability of this?