A math teacher is having lunch with two students, Bob and Alice.

Teacher : Let's play a game. Put your wallets on the table. We'll count the money in each. Whoever has the smallest amount wins all the money in the other wallet.

Bob : If I have more than Alice, she'll win just what I have.

But if she has more, I'll win more than I have.

So I'll win more than I can lose.

The game must be in my favor.

Alice : If I have more than Bob, he'll win just what I have.

But if he has more, I'll win more than I have.

The game is in my favor.

How can a game be favorable to both players?

Does this paradox arise because each player wrongly assumes his chances of winning or losing are equal?

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