Probability of betting on a game math problem

Question

Your friend is betting on a game in which the probability of winning is 1 in 5. He has lost 5 games in a row, so he says he will double his bet on the next game. What do you tell your friend?

Answer 1

His probability of winning or losing is EXACTLY the same on the next game!

Unless, of course, he thinks that the game is rigged and the probability is not exactly 1/5.