If a gambler and the casino keep going forever, how come the casino is always the winner?
In: Mathematics
The house always wins because, from their point of view, they’re playing all the gamblers. Any particular gambler is only playing the house. In aggregate, the games are designed so that the house will make a profit from the games played against all the gamblers. If any one gambler wins some money, enough other gamblers lose more than that.
This is why you can have a small set of people who do win money from a casino, but the casino still “always wins”.
Another aspect of the “house always wins” is that, despite some transient gains, if you keep playing long enough, you will lose all your gains plus a little more.
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