Royal Flush

The rules of this game can be found here.

As with Perpetual Motion, there seems to be some confusion about how to collect the piles between rounds/redeals. For Royal Flush, the consensus seems to be to collect the piles from right to left. However, some sources say to flip the piles over before collecting them. But in this case, you might as well collect the piles from left to right (while still face up), since the result is the same, and you only need to flip once. So, I decided to test it both ways, and you can choose to play by whichever rule results in a win rate that is more to your personal liking.

I also tested a variation I invented that has 3 rounds of 5 piles each, and you win if you see all five of Royal Flush cards on top of the piles at the conclusion of any round (after discarding and before collecting the piles). This has the advantage of suspense that builds whenever the first few piles do not run empty.

Win Rates for Royal Flush,
one billion deals each
VersionPile
Collection
Order
Games
Won
Win
Rate
%
StandardRight-to-left391,648,34839.2
StandardLeft-to-right236,172,24023.6
3 Rounds of 5Right-to-left209,102,65620.9
3 Rounds of 5Left-to-right175,823,18517.6

Any comments are welcome, please send to Mark Masten at:

Last modified December 5, 2021

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