Let’s say we bet on the result of a coin flip. You will give me $1 for every tails and I will give you 98 cents for every heads.
Statistically, I’m going to win every second game, which means you will give me a dollar and I will give you back 98 cents. If we play a very large number of games, each of them will be worth 1 cent to me.
The key misnomer in “The house always wins” is the word “always”. The house always wins, statistically, after a very large number of games.
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