Poll
3 votes (37.5%) | |||
5 votes (62.5%) |
8 members have voted
6 pays 500 to 1.
7 pays 50 to 1
8 pays 25 to 1
9 pays 5 to 1
10 pays 2 to 1
11 pays even money
12-27 player loses
28 pays even money
29 pays 2 to 1
30 pays 3 to 1
31 pays 4 to 1
32 pays 5 to 1
33 pays 500 to 1
Table B
6 and 33 pays 50 to 1
7 and 32 pays 10 to 1
8 and 31 pays 5 to 1
9 and 30 pays 4 to 1
10 and 29 pays 3 to 1
11 and 28 pays 2 to 1
12 and 27 pays even money
Which one would attract more players. Assume you are playing with a single deck w iDeal shuffler. These payouts are for the 3 card totals with Aces always worth 11. (This is the bonus feature to Casino Over Under.)
The HE for table B is slightly lower but assuming a player didn't know that fact, would table A be more appealing? That 500 to 1 would be tough to resist. Is that too high for table games?
2) 500-1 would trigger a W2 on a $3 bet... Thus your 500-1 on a $5 bet would be $2500, but after taxes really be about 1850. Your 500-1 is more like 370-1 then, which sucks.
3) I'm more of a fan of balanced pay tables. Thus, instead of 1 insane chance of winning big (like the lottery) sprinkle that payout in to the rest of the more common hits to make players feel like they win a decent amount more often.
Thus, table B gets my vote... Though I'd still like to see better odds more evenly distributed.
What's the HE for these pay tables?
Quote: RomesWhat's the HE for these pay tables?
A is 16.3439%; B is 11.8089%
Here are the counts by value:
6 | 4 |
7 | 24 |
8 | 48 |
9 | 92 |
10 | 136 |
11 | 200 |
12 | 268 |
13 | 352 |
14 | 512 |
15 | 740 |
16 | 896 |
17 | 1080 |
18 | 1196 |
19 | 1336 |
20 | 1408 |
21 | 1508 |
22 | 1800 |
23 | 1856 |
24 | 1652 |
25 | 1472 |
26 | 1264 |
27 | 1108 |
28 | 920 |
29 | 784 |
30 | 840 |
31 | 504 |
32 | 96 |
33 | 4 |
Edit to Add: My ways are 3 times what they should be as I just edited my original spreadsheet.
A
Hand | Ways | Probability | Pays | Return |
---|---|---|---|---|
6 | 12 | 0.000180995 | 500 | 0.090497738 |
7 | 72 | 0.001085973 | 50 | 0.054298643 |
8 | 144 | 0.002171946 | 25 | 0.054298643 |
9 | 276 | 0.004162896 | 5 | 0.02081448 |
10 | 408 | 0.006153846 | 2 | 0.012307692 |
11 | 600 | 0.009049774 | 1 | 0.009049774 |
12 | 804 | 0.012126697 | -1 | -0.012126697 |
27 | 3324 | 0.050135747 | -1 | -0.050135747 |
28 | 2760 | 0.041628959 | 1 | 0.041628959 |
29 | 2352 | 0.035475113 | 2 | 0.070950226 |
30 | 2520 | 0.03800905 | 3 | 0.114027149 |
31 | 1512 | 0.02280543 | 4 | 0.091221719 |
32 | 288 | 0.004343891 | 5 | 0.021719457 |
33 | 12 | 0.000180995 | 500 | 0.090497738 |
13-26 | 51216 | 0.772488688 | -1 | -0.772488688 |
Total | 66300 | 1 | -0.163438914 |
B
Hand | Ways | Probability | Pays | Return |
---|---|---|---|---|
6 | 12 | 0.000180995 | 50 | 0.009049774 |
7 | 72 | 0.001085973 | 10 | 0.010859729 |
8 | 144 | 0.002171946 | 5 | 0.010859729 |
9 | 276 | 0.004162896 | 4 | 0.016651584 |
10 | 408 | 0.006153846 | 3 | 0.018461538 |
11 | 600 | 0.009049774 | 2 | 0.018099548 |
12 | 804 | 0.012126697 | 1 | 0.012126697 |
27 | 3324 | 0.050135747 | 1 | 0.050135747 |
28 | 2760 | 0.041628959 | 2 | 0.083257919 |
29 | 2352 | 0.035475113 | 3 | 0.106425339 |
30 | 2520 | 0.03800905 | 4 | 0.152036199 |
31 | 1512 | 0.02280543 | 5 | 0.114027149 |
32 | 288 | 0.004343891 | 10 | 0.043438914 |
33 | 12 | 0.000180995 | 50 | 0.009049774 |
13-26 | 51216 | 0.772488688 | -1 | -0.772488688 |
Total | 66300 | 1 | -0.11800905 |
That link is the math that supports Table A having a HE of 16.34% (Single deck)
https://docs.google.com/spreadsheets/d/1fkZpx9Ftdpq3IgibKc3eRzSt2sSj-fwzmHgM-_wR094/edit?usp=sharing
That is the link to support Table B having a HE of 11.8% (single deck)
Also, the most mathematically sound may not necessarily be the most appealing to new and novice players.
(a) Various jackpot bets are already around that use 3-cards (but from multiple decks) so suited trips etc. can be created - bet =£1/50p
(b) The obvious long shot that seems to work is Top 3 (270 to 90/1 for Suited Trips, Str Flush and Trips) - max bet = £10.
(c) Compare this with bets such as Pair+ (3CP) - c.f straight up in roulette, say £100.
(d) Prime (paying 3/1 or 4/1) or 21+3 (paying 9/1).
Personally I think your House Edge is way too high and the house would make more money offering a max of 20, 25 or 50/1 at about 3-5%. However sometimes playing with the maths will determine the exact payout values. The other thing is using fewer values (e.g. 1 2 5 20) might be easier for the dealer.
As you say the mathematical analysis doesn't always get the right answer - Top 3, with a high house edge, has been relatively popular with players.
This site gives a good list of some side-bets used in the UK.
http://www.ukcasinotablegames.info/blackjacktop3.html
1. Short (favoring pay table B), so that the players and dealers can sink their teeth into it as easier.
2. Bottom-heavy, so that players feel some return to them during their sessions.
If you look at the popularity of the Pair Plus side bet on Three Card Poker, this says a lot. This side bet has a very high patronage rate, is elegant, and just works.
I agree these HE %'s are high which is why I prefer using 6 decks. That brings the table B way down to just over 5%.
Thanks for the site.
Definitely ditch the higher lop sided pay table. Also, up the payouts of the more average hands a bit. Make the HE something like 5%. We don't need more 10%+ house edges in the world, that's just awful.
Pair Plus is considered a model side bet because it is clear, short, sensible, and has a good hit rate. More than half of the player return should come from "session-seen" hand rankings.
A 500:1 top payout is not a risk to a large operator, but might scare a small card room; besides, you want to leave something for a progressive table. A progressive is possible with colored or suited 6's and 33's as the rare top triggers.
The other items is that as a count-based game, well, is the side bet game countable from a shoe? If the game gets hit it gets taken out. AP work on a game is always effort well spent. Solutions here include CSMs and single deck machine dealt packets of cards.
The problem is that you will lose those players much quicker and their experience will be worse than if they played Table B.
Quote: DRichI think all of the voters so far besides myself are 100% wrong. Table A will attract many more players because of the big potential jackpot.
The problem is that you will lose those players much quicker and their experience will be worse than if they played Table B.
This doesn't account for:
1. You actually need a bottom heavy frequent hit rate on a side bet to satisfy players.
2. You'll need to justify a progressive, and it is harder to do if the felt side bet competes or offers progressive-like payouts.
3. Smaller card rooms don't like jackpot-like felt-based side bets, and often won't install games that give them too much exposure.
Quote: PaigowdanThis doesn't account for:
1. You actually need a bottom heavy frequent hit rate on a side bet to satisfy players.
2. You'll need to justify a progressive, and it is harder to do if the felt side bet competes or offers progressive-like payouts.
3. Smaller card rooms don't like jackpot-like felt-based side bets, and often won't install games that give them too much exposure.
I agree completely, but the question was "What attracts players". The average casino player isn't walking around plotting paybacks on graph paper looking for asymptotes, they are looking for big wins. They do not understand the concepts of variance and volatility although they clearly experience them.
I think the perfect analogy would be which attracts more players:
$1 3 coin 3 Reel Double Diamond Megabucks machine
or
$1 3 coin 3 Reel Double Diamond standalone machine
We can all agree that the better value and better time on device will be the stand alone game but yet if you put those two machines next to each other the Megabucks would attract more players.
I have to give credit to Drich as he was one of the few that answered in the manner I was hoping for. I agree that new and novice players are not going to be looking at my game or any other any where near the level that some of you gentlemen have examined it. However, I always love hearing the analysis and learning from it so I got the bonus plan. (Anyone remember Ford Fairlane? Man, time flies!!)
Quote: DRichI think all of the voters so far besides myself are 100% wrong. Table A will attract many more players because of the big potential jackpot.
The problem is that you will lose those players much quicker and their experience will be worse than if they played Table B.
I forgot to vote but as i said in my earlier post i think most gamblers will go for the big payout in table A.
Quote: DRichI agree completely, but the question was "What attracts players". The average casino player isn't walking around plotting paybacks on graph paper looking for asymptotes, they are looking for big wins. They do not understand the concepts of variance and volatility although they clearly experience them.
Correct, they are not walking around pre-judging the bets on such mathematical criteria. They will, however, feel the effect of a well-designed side bet versus a poorly-designed side bet after trying it. The goal as designer is to keep them playing your game with bets that feel good to the player without necessarily knowing the technical reasons why.
Quote: DRichWe can all agree that the better value and better time on device will be the stand alone game but yet if you put those two machines next to each other the Megabucks would attract more players.
I anticipate that most tables offered will be with progressives. The word I have gotten from both distributors and operators is that casino players play progressives on the chance to win big (and that their lives would be ruined if they did NOT have the option when they got that big hand) - and that they patronize table progressives in a BIG way. Think of it this way: it is a lottery ticket for just a dollar, and on the next hand.
Operators like offering progressives because of the higher house edge, the additional income, and because large payouts are paid from a player meter pool, reducing their own exposure.
We wish the kobalj the best!