No, because this paradox only applies to games where you chances of winning change over time. I teach maths and have come across this before. I've always consi

No, because this paradox only applies to games where you chances of winning change over time. I teach maths and have come across this before. I've always considered it just a really complex way of wrapping up something trivial and a bit stupid. Lets consider two much easier games, and take out the probability (it makes no difference that we do this). Game A) At even time-steps, you give me $5. At odd time-steps, I give you $10. Game B) I always give you $1, at each time-step. Clearly both of these games are a lost cause for me. However, if we play ABABABA... then we alternate between you giving me $5, and me giving you $1, so I win!