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The Mathematics Behind Casino House Edge

Every single game on a casino floor is meticulously designed with a built-in mathematical advantage for the operator.

This mathematical advantage is universally known as the ‘house edge,’ and it is the secret to their massive profits.

How the House Edge is Calculated

The edge is essentially the difference between the true odds of an event happening and the actual payout you receive.

The presence of the green zero on the roulette wheel is what creates the house edge on all even-money bets.

  • This slight discrepancy in payouts guarantees that the casino retains a small percentage of all money wagered
  • A 2% house edge means the casino expects to keep two dollars out of every one hundred dollars bet
  • Over millions of spins, this tiny percentage translates into billions of dollars in guaranteed revenue

RTP: The Player’s Perspective

RTP and house edge are two sides of the exact same mathematical coin.

If a slot machine has an RTP of 96%, it means the house edge is exactly 4%.

Game Average House Edge Average RTP
European Roulette 2.70% 97.30%
American Roulette 5.26% 94.74%

You cannot defeat the math, but by choosing games with a low edge, you can play much longer for the same price.

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