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The Royal Flush will be about 2% of your return. If you do not hit it, you will probably have a negative return unless you are hitting bonus hands or other big hands.
A Royal Flush cycle is the number of hands until hitting the Royal which will average about every 40,000 hands or so. It varies by a few thousand hands game to game because your playing strategy will be less Royal-centric in games with bonus hands and more Royal-centric where you need to go after the Royal.
Below are the odds for getting a Royal. Each card needed to make a Royal is calculated separately and then multiplied together to get the odds. This is available as a Google spreadsheet.
Any 10,J,Q,K or A on your first card, gives you a chance at a Royal with odds of 20 out of 52 total cards in the deck. The next card has to be the same suit so you only have 4 out of 51 chances, etc. and then finally 1 out of 48 cards for the last card.
If all your cards are lower than a 10 and you discard them all, there will only be 47 cards left in the deck. The odds of drawing a Royal after discarding all 5 dealt cards is 383,484.8 to 1 while it is 47 to 1 if you start with 4 cards to the Royal.
Odds for a Joker game are also shown. For example, if you have 2 cards to a Natural Royal (No Jokers or wild cards) the odds are 17,296 to 1 against you making a Natural Royal while the odds are 16,215 to 1 in a 52 card deck.
The Palms has a double Joker game which can be easily calculated from the Google spreadsheet by simply increasing the cards in the dealt Royal area from 53 to 54. All the other odds will automatically change.
53 to 54. All the other odds will automatically change.
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