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Ask the Slot Expert: Revisiting my NSU EV tables

1 January 2025

This week I want to republish two EV charts with additional columns. I added two additional columns for each hold option. The extra columns make it easier to see how the different ending hands add up to the EV for the hold option. The two extra columns are the probability of hitting the ending hand and how much the hand contributes to the total EV of the hold option.

In this column, I looked at why the strategy charts say to give up a 3-of-a-kind in favor of a 4-card straight flush when your hand has one deuce. I don't like giving up a sure thing, so I wanted to see the details of how the EVs were calculated.

Dealt hand: 2♣ 6♥ 6♦ 9♦ 10♦
Hold: 2♣ 6♦ 9♦ 10♦  Hold: 2♣ 6♥ 6♦
HandPays          WaysTot Pays  Prob.  Cont.     WaysTot Pays  Prob.  Cont.
4 Deuces20000  0  0 0000
Wild royal250000 0000
5-of-a-kind160000  101600.0092510.148011
Straight flush105500.1061.06383 0000
4-of-a-kind40000  2108400.1942650.777058
Full house40000  602400.0555040.222017
Flush37210.1490.446809  0000
Straight26120.1280.255319  0000
3-of-a-kind1880.1700.170213  8018010.7409810.740981
Nothing02100.4470  0000
Totals479111.93617  1081204111.88067

A tenth of the time you get the straight flush you were hoping for and that's responsible for a little over half of the EV for going for the straight flush. You could get 5-of-a-kind if you hold the 3-of-a-kind, but it's such a long shot that it contributes little to the total EV.

In this column, I looked at why holding a 3-card straight flush beats a pair when you don't have any deuces. You would hold the pair if your straight flush had a gap. Why does an outside straight flush beat the pair?

Dealt hand: 5♣ 5♦ 6♦ 7♦ 10♠
Hold: 5♣ 5♦  Hold: 5♦ 6♦ 7♦
HandPays          WaysTot Pays  Prob.  Cont.     WaysTot Pays  Prob.  Cont.
4 Deuces20000  0  0  0000
Wild royal250000  0000
5-of-a-kind16203200.0010.019735  0000
Straight flush100000  252500.0231270.231267
4-of-a-kind46152,4600.0380.151711  0000
Full house43771,5080.0230.093000  0000
Flush30000  531590.0490290.147086
Straight20000  931860.0860310.172063
3-of-a-kind14,5784,5780.2820.282331  39390.0360780.036078
Nothing0 10,62500.6550  87100.8057350
Totals16,2158,86610.546778  1,08163410.586494

Similar to the first chart, the straight flush comes through again and provides the lion's share of the EV.


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John Robison

John Robison is an expert on slot machines and how to play them. John is a slot and video poker columnist and has written for many of gaming’s leading publications. He holds a master's degree in computer science from the prestigious Stevens Institute of Technology.

You may hear John give his slot and video poker tips live on The Good Times Show, hosted by Rudi Schiffer and Mike Schiffer, which is broadcast from Memphis on KXIQ 1180AM Friday afternoon from from 2PM to 5PM Central Time. John is on the show from 4:30 to 5. You can listen to archives of the show on the web anytime.

Books by John Robison:

The Slot Expert's Guide to Playing Slots
John Robison
John Robison is an expert on slot machines and how to play them. John is a slot and video poker columnist and has written for many of gaming’s leading publications. He holds a master's degree in computer science from the prestigious Stevens Institute of Technology.

You may hear John give his slot and video poker tips live on The Good Times Show, hosted by Rudi Schiffer and Mike Schiffer, which is broadcast from Memphis on KXIQ 1180AM Friday afternoon from from 2PM to 5PM Central Time. John is on the show from 4:30 to 5. You can listen to archives of the show on the web anytime.

Books by John Robison:

The Slot Expert's Guide to Playing Slots