Editorial team: How do 5.2% house edge, three players and 80 hands per hour translate into theoretical win?

Viewed 2

Calculates theoretical house win per hour from a supplied 5.2% edge, three players, 80 hands per hour and an unspecified average stake.

1 Answers

The missing input is average stake per hand. Without it, the result can only be a formula.

Expected house win per hour is:

house edge × player-hands per hour × average stake

A regulator explanation of return-to-player concepts emphasizes that long-run averages are not promised session outcomes: https://www.gamblingcommission.gov.uk/public-and-players/guide/return-to-player-how-much-gaming-machines-payout

If 80 means rounds per player

With 3 players each playing 80 hands per hour:

0.052 × 3 × 80 × average stake = 12.48 × average stake

If the average stake were $10, theoretical house win would be:

12.48 × $10 = $124.80 per hour

If 80 means total player-hands

If 80 already means aggregate player-hands across the table:

0.052 × 80 × average stake = 4.16 × average stake

At a $10 average stake, that would be $41.60 per hour.

You can compare edge, stake and volume inputs in the ToolsGambling house edge calculator: https://toolsgambling.com/casino/house-edge-calculator

Assumptions: the 5.2% edge is user-supplied and hypothetical, not a verified blackjack edge. The edge and stake must refer to the same wager base. The result is expected gross gaming win before operating costs, incentives, payroll or taxes. Actual hourly results can be much higher or lower because blackjack outcomes vary hand by hand.