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đ§Ž Calculating the Average Hourly Loss Rate of a Casino Game
One factor to consider when deciding on a casino bankroll is how much money youâre mathematically expected to lose on a game per hour.
That estimate is easy to calculate, but as youâll see, it doesnât tell the whole story.
You multiply the average amount youâre betting by the number of bets youâre making per hour. That gives you the average hourly action youâre bringing the casino.
You multiply that hourly action by the house edge for the game to get the average expected hourly loss.
Hereâs an example:
Youâre playing baccarat. At an average baccarat table, youâll probably see 70 hands per hour.
Letâs assume youâre playing for $25 per hand, which isnât unusual. Baccarat is traditionally a high stakes game. In a lot of casinos, the betting minimum for baccarat is in that vicinity.
Youâre putting $25/hand X 70 hands/hour, or $1750 per hour into action.
Letâs assume youâre making the banker bet every time, which is the lowest house edge bet you can make in baccarat. The house edge for that bet is 1.06%.
Your average hourly loss would be $1,750 X 1.06%, or $18.55 per hour.
One way to determine the bankroll youâd need for a trip to the casino would be to calculate how much time you want to spend at the baccarat tables. Letâs say youâre going to be at the casino for 3 days, and you want to play baccarat for 2 hours every morning and 2 hours every night.
Thatâs a total of 12 hours of action with an average hourly loss of $18.55 per hour, or $222.60.
As far as a starting point for deciding how much money you should bring, thatâs a good way to estimate it.
But thereâs more to the equation than that…
đ¸ The Role of Volatility in Deciding How Much Bankroll You Need for a Casino Visit
In baccarat, when you bet on the banker, you win almost half the time, and you lose a little more than half the time. This means that youâll usually see small swings in fortune.
Those swings in fortune are called âvolatility.â
You can often estimate volatility by the size of the payouts. In many casino games, payouts are âeven money.â You bet $25, and you either win $25 or lose $25.
Games like baccarat, blackjack, craps, and roulette are good examples of low volatility games â assuming youâre placing the even money bets, anyway.
Even with a low volatility game, you will experience swings up and down compared to the expected loss. This is why some players come home a winner some of the time, even though most gamblers come home with a net loss.
The less time you spend on the game, the more likely you are to show a result different from the mathematically expected result.
If you use the calculated average expected loss with a game which has low volatility and even money payouts, I recommend bringing a bankroll of about twice the calculated necessary bankroll. If Iâm playing baccarat for $25 per hand, for example, I want to bring between $400 and $500 â even though my expected loss is only $222.60.
I want to outlast any streaks of bad luck.
But other games (or other bets with the games Iâve already discussed) win far less often, even though they have a higher payout. They might even have the same house edge, but from a bankroll managementperspective, higher volatility means you should have more money on hand.
Hereâs an example of a higher volatility bet:
When you bet on a single number in roulette, you win 1 in 38 times, or 2.63% of the time. When you do win, you get a 35 to 1 payout.
Most of the time, youâll lose, but on the occasions when you win, you get a bigger win to make up for a lot of those losing spins.
The house edge for a roulette bet is 5.26%. It doesnât matter if youâre making the high volatility bet or the low volatility bet. Over time, thatâs how much the casino expects to win from you on average.
You could calculate a bankroll requirement for roulette by looking at your average number of bets per hour (40) multiplied by your average bet ($25, for our example purposes). Thatâs $1000 in hourly action.
5.26% of $1000 is $52.60 per hour in expected losses.
To spend 12 hours on roulette, youâd need $631.20.
And youâd probably want to double that and bring between $1,100 and $1,300 with you to make sure you donât run out of money if your luck runs bad.
But if youâre a single number bettor, you should probably bring even more than that. Itâs a lot easier to have a long losing streak when youâre facing a probability of 2.63%.
These principles also apply to craps â the low volatility bets are the ones with the even money payouts.
Instead of dealing with the house edge, youâll usually be dealing with an estimated payback percentage. Thatâs just the average amount of each bet the machine is expected to return to you on average based on your action.
The payback percentage is just 100% minus the house edge.
For example, if youâre playing slot machines at a casino which has an average payback percentage on its slot machines of 92%, the house edge is around 8%.
But you need to keep in mind 2 things when considering slot machines:
The higher jackpot means that the big wins come less often than 2.63% even. With a top jackpot of 1000 for 1, the probability of winning it is far less than 1%.
The average slot machine payback percentage for a casino is just an average. You have no way of knowing if the machine youâre playing on is above or below average.
The average slot machine or video poker player makes 600 spins per hour. If you assume that youâre betting $3 per hour, youâre looking at $1800 per hour in action.
When facing an 8% house edge, youâre looking at an expected hourly loss of 8% X $1800, or $144. For 12 hours of play, youâll need at least $1728.
But if you want to make sure you donât run out of money, you should probably bring at least 3 times that amount, or close to $5000.
You want to bring enough money to the casino to get to play for as long as you want to play. This means accounting for the average amount you expect to lose over that amount of time.
But it also means padding that amount based on the volatility of the game youâre playing.
If you have a modest bankroll, this means you should focus on low volatility games which also have a low house edge. I recommend baccarat and/or blackjack.