# Pay the Aces Video Poker

## Introduction

Pay the Aces is a video poker game I have seen in a few casinos in Laughlin, Nevada. Strangely, I have never seen it anywhere else. The plays like double bonus, except there are bonuses for getting aces on the deal, with no face cards.

The following table shows the base game, before considering the bonuses.

### Pay the Aces Base Game

Hand Pays Combinations Probability Return
Royal flush 800 539332812 0.000027 0.021646
Straight flush 50 2331337008 0.000117 0.005848
Four A 80 3886370616 0.000195 0.015598
Four 2-4 40 10449123324 0.000524 0.020968
Four 5-K 25 32039251668 0.001607 0.040183
Full house 8 226342165032 0.011355 0.090840
Flush 5 220691040360 0.011072 0.055358
Straight 4 292726917540 0.014685 0.058741
Three of a kind 2 1447582226256 0.072622 0.145243
Two pair 1 2515099494240 0.126176 0.126176
Pair 1 4172246949888 0.209311 0.209311
Nonpaying hand   11009296308456 0.552309 0.000000
Total   19933230517200 1.000000 0.789912

The next pay table shows the value of the bonuses on the deal.

### Pay the Aces Bonuses

Hand Pays Combinations Probability Return
Four aces no faces dealt 500 36 0.000014 0.006926
Three aces no faces dealt 50 2520 0.000970 0.048481
Two aces no faces dealt 2 42840 0.016484 0.032967
One ace no faces dealt 1 235620 0.090659 0.090659
Other 0 2317944 0.891874 0.000000
Total 0 2598960 1.000000 0.179033

So the overall return of the game is 0.789912 + 0.179033 = 0.968945.

I have an unconfirmed report that the Riverside casino offers a different bonus pay table, as follows.

### Pay the Aces Bonuses — Riverside Pay Table

Hand Pays Combinations Probability Return
Four aces no faces dealt 1500 36 0.000014 0.020778
Royal flush dealt 1000 4 0.000002 0.001539
Three aces no faces dealt 50 2520 0.000970 0.048481
Two aces no faces dealt 2 42840 0.016484 0.032967
One ace no faces dealt 1 235620 0.090659 0.090659
Other 0 2317944 0.891874 0.000000
Total 0 2598964 1.000002 0.194424

Applying this pay table to the same base pay table results in an overall return of 0.789912 + 0.194424 = 0.984336.

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