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 concept is simple: if the true odds are 35-to-1, the casino will only pay you 35-to-1 instead of 36-to-1.


Take European Roulette: there are 37 numbers on the wheel, meaning your true odds of hitting a single number are 1 in 37.

This slight discrepancy in payouts guarantees that the casino retains a small percentage of all money wageredA 2% house edge means the casino expects to keep two dollars out of every one hundred dollars betOver millions of spins, this tiny percentage translates into billions of dollars in guaranteed revenue
The Flip Side of the House Edge

In the digital world, software providers use the term RTP to explain the theoretical payout of a game.


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

GameAverage House EdgeAverage RTPEuropean Roulette2.70%97.30%American Roulette5.26%94.74%

Ultimately, treating the house edge as the 'price of admission' for your entertainment is the healthiest mindset.