BULLETS!

BULLETS!

-The premise of this game is simple, and that is to either get dealt a, “Perfect,” hand, (Bullets or Pair of Sixes), or to get dealt a hand that totals twelve, or to end up with a hand totaling twelve substituting the dealer’s card for your own.

Procedure:

The players place their bets. Two cards are dealt face up to every player. There is one card dealt to the dealer face down.

If the player has a, “Perfect,” hand, two Aces or two Sixes (Aces are either 1 or 11) the player gets paid 50:1. If the player has a total of twelve otherwise, the player is paid 10:1.

If the player does not have a twelve, then the Dealer’s card substituting for either player card, and gets twelve, the pay is Even Money or 5:1 on Bullets or Sixes. If the player holds two of the same card, the dealer’s card will only be applied once. The player will also be paid even money if his cards and the dealer's cards make Trip-10's.

If the player has any twelve comprised of his own cards, he is paid immediately and may not play the dealer’s card.

A continuous shuffle machine will be used.

Starting Hand Math:

BULLETS

4/52 * 3/51 = .004525

The pay is 50:1, so on a $10 bet, the expectation is .004525 * 10 = $0.04525 * 50 = $2.2625

Other Twelves

10+2 = 16/52 * 4/51 = .02413, so on a $10 bet = $10 * .02413 = $0.2413 * 10 = $2.4130

(9+3 or 7+5 or 8+4) 4/52 * 4/51 = .00603 so on a $10 bet = $10 * .00603 = .06030 * 10 = $0.6030

The $0.6030 is per each result for three results, so $1.8090

6+6 = 4/52 * 3/51 = .004525 * $10 = .045250 * 50 = $2.2625

EV of $10.00 on starting hands = $8.7470

With Dealer Card

Player has A + 10
4/52 * 16/51 = .02413

DEALER DEUCE: 4/50 = .08 * .02413 = .0019304 * $10 = $0.019304
DEALER ACE: 3/50 = .06 * .02413 = .0014478 * $10 = $.014478 * 5 = $0.07239


Player Has A + 6
4/52 * 4/51 = .00603

DEALER ACE: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 = $0.01809
DEALER SIX: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 = $0.01809

Player Has A + 2
4/52 * 4/51 = .00603

DEALER ACE: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 = $0.01809
DEALER TEN: 16/50 = .32 * .00603 = .0019296 * $10 = $0.019296


Player Has A + (9, 8, 7, 5, 4, 3)
4/52 * 4/51 = .00603-per Result

DEALER SIX: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 = $0.01809
DEALER MAKES 12: 4/50 = .08 * .00603 = .0004824 * $10 = $0.004824 * 6 (STARTING HAND CARDS) = $0.028944


Player has 10 + 10
16/52 * 16/51 = .096531
DEALER DEUCE: 4/50 = 0.08 * .096531 = .00772248 * 10 = $.0772248


Player Has 10 + 6:
4/52 * 16/51 = .02413

DEALER DEUCE: 4/50 = .08 * .02413 = .0019304 * $10 = $0.019304
DEALER SIX: 3/50 = .06 * .02413 = .0014478 * $10 = $.014478 * 5 = $0.07239

Player Has: 10 + (9, 8, 7, 5, 4, 3)
16/52 * 4/51 = .02413 (per)

DEALER DEUCE: 4/50 = .08 * .02413 = .0019304 * $10 = $0.019304
DEALER MAKES 12 OTHERWISE: 4/50 = .08 * .02413 * $10 = $0.019304 * 6 = $0.115824

Player Has: 10 + 2
4/52 * 16/51 = .02413

DEALER DEUCE: 4/50 = .08 * .02413 = .0019304 * $10 = $0.019304
DEALER TEN: 16/50 = .32 * .02413 = .0077216 * $10 = $0.077216

Player Has 6 + 2
4/52 * 4/51 = .00603

DEALER SIX: 3/50 = .06 * .00603 = .0014478 * $10 = $.014478 * 5 = $0.0723
DEALER TEN: 16/50 = .32 * .00603 = .0019296 * $10 = $0.019296

Player Has: 6 + (9, 8, 7, 5, 4, 3)
4/52 * 4/51 = .00603-per Result

DEALER SIX: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 = $0.01809
DEALER MAKES 12: 4/50 = .08 * .00603 = .0004824 * $10 = $0.004824 * 6 (STARTING HAND CARDS) = $0.028944

Player Has: 9, 8, 7, 5, 4, 3 (Any Combination EXCEPT Paired)
4/52 * 4/51 = .00603-per Result

DEALER MAKES 12-Does Not Match Player's Second Card: 12: 4/50 = .08 * .00603 = .0004824 * $10 = $0.004824 * 5 (OTHER STARTING HAND CARDS) = $0.02412
DEALER MAKES 12-Matches Player's Second Card: 3/50 = .06 * .00603 = .0003618 * $10 = $.003618 * 5 (OTHER STARTING HAND CARDS) = $0.01809

Player Has: 9, 8, 7, 5, 4, 3 (PAIRED)
4/52 * 3/51 = 4/52 * 3/51 = .004525

DEALER MAKES 12: 4/50 = .08 * .004525 = .000362 * $10 = .00362 * 6 (TOTAL STARTING HANDS) = $0.02172

Player Has 2-2:
4/52 * 3/51 = 4/52 * 3/51 = .004525

DEALER MAKES 12: 16/50 * .004525 = .001448 * 10 = $0.01448


DEALER MAKES TRIPS-TENS:
16/52 * 15/51 = .0905

14/50 = .28 * .0905 = .02534 * $10 = $0.2534

TOTAL EV OF GAME:

EV of DEALER CARD: $0.8299008
EV of STARTING HANDS: $8.7470
EV of TRIP TENS: $0.2534

TOTAL = $9.8303008

HOUSE EDGE: 1.706002%

SIDE BETS WILL BE FORTHCOMING

NOTE: If the House doesn't like the HE, remove the Even Money on Trip Tens, and the new HE is 4.24%

The player doesn't actually do anything or make any kind of decision in this game, so it should move right along!!! The Low HE is designed due to the fast speed of the game.

I think this is wrong :

BULLETS

4/52 * 3/51 = .004525

It should be

8/52 (any 6 or ace) * 3/51 (one of the 3 remaining cards of that rank) = 0.00905 (or twice what you here).

Also if it's using a CSM and more than a single deck (say 6 decks) :

48 / 312 * 18 / 311 = 0.0089.

The lack of decision makes this just a fancy version of War... there's not even a side to take like in Baccarat. But that's just me.

Quote: thecesspit

I think this is wrong :

BULLETS

4/52 * 3/51 = .004525

It should be

8/52 (any 6 or ace) * 3/51 (one of the 3 remaining cards of that rank) = 0.00905 (or twice what you here).

Also if it's using a CSM and more than a single deck (say 6 decks) :

48 / 312 * 18 / 311 = 0.0089.

The lack of decision makes this just a fancy version of War... there's not even a side to take like in Baccarat. But that's just me.

I appreciate the comments, thank you!

To the first part, I calculated Sixes and Bullets seperately in the calculations above. I have no idea why I did it that way, but there's a spot for 6+6 and one for A+A. There's a lot up there, so that's pretty easy to miss.

I would just use a single deck, I don't see why not with the CSM.

I don't think it's very much like War, but I do appreciate the use of the word, "Fancy." The Dealer's Card is there, essentially, to give the player a second chance if he/she loses. The Dealer's job is just to know when two cards equal twelve and to do the payouts correctly. I think this would be a good breaking-in game for a new dealer, just to get him some floor experience.

I also calculated the Hit Percentage a moment ago, but then the Internet decided to reset and I lost the post. It was between 13-14%, I'll probably do it exactly again tomorrow. I had it seperated into Starting Hand, Dealer Hit Card and Total. The Starting Hand was slightly better than 5% while the Dealer Hit was in the mid 8%'s, I think.

EDIT: There's something you could do, CessPit. You could make a bet that your two cards and the dealer's card plus one of yours WILL NOT equal twelve. You would win 10% of the amount bet.

If the hit rate is 13% (It's slightly higher):

For a $10 bet:

$10 * .87 = $8.70 + $1.00 = $9.70 EV

The HE would be 3% on the, "No 12," bet, except it's a little higher because the actual Hit Rate is over 13%, slightly. You'd be better off to play the base game.

Using the following assumptions...

1) A standard 52-card deck is used
2) Kings, Queens, and Jacks count as 10 points
3) The "Trip 10s" means three Tens specifically, not "three Kings" or "three Queens" or "three Jacks" or "three 10-point cards"
4) I did the math correctly

...the game has a 76.8% player advantage.

Quote: JB

Using the following assumptions...

1) A standard 52-card deck is used
2) Kings, Queens, and Jacks count as 10 points
3) The "Trip 10s" means three Tens specifically, not "three Kings" or "three Queens" or "three Jacks" or "three 10-point cards"
4) I did the math correctly

...the game has a 76.8% player advantage.

How does that happen?

What happens if you switch the Perfect 12 starting hand to 25:1 and any other twleve to start to 5:1?

Quote: Mission146

How does that happen?

What happens if you switch the Perfect 12 starting hand to 25:1 and any other twleve to start to 5:1?

A player edge of 11.94%.

Here are the combination counts:

2-Card Paired AA or 66 = 1,200
2-Card Other 12 = 11,200
3-Card Paired AA or 66 = 2,304
3-Card Other 12 or Trip 10s = 18,104
All Other = 99,792

You should start by switching the prizes for 3-Card AA/66 and 2-Card Other 12 because the 3-Card AA or 66 is much rarer than a 2-Card Other 12.

If you used the following paytable...

2-Card AA/66 = 25:1
3-Card AA/66 = 10:1
2-Card 12 = 2:1
3-Card 12 or Trip 10s = 1:1

...then the house edge would be 4.7%.

The trip tens payout seems weird and random, but the 4+% edge without seems steep. What if you cut that, and paid 6:1 on bullets or sixes with the dealer card?

A totally new game here.

Questions/items:
1. Feedback in real play: Did you deal and play this game as a new game demo for a group, with people who are not family and friends?
2. House edge of 1.5% to 4.9% is fine for a new carnival game, shading to the high side on a slowly dealt game, to the low side on a quick game. It's pretty much on target here.
3. Side bets are a must: main bet with one or two sides bets. Some Two-card "Hole card" side bet ideas: any pairs, any suited, suited connectors, etc.
4. Mike's "New Game Design" commandment #2 (Thou Shalt Covet Games that are Already Popular) isn't followed here, and it is very hard to introduce a game that doesn't have a common and current hook to the gambling public and its psyche.
5. patent, documentation, and gaming math issues: to really present a game to a distributor, patent work, documentation, and gaming math pretty much have to be squared away. If you need on who to go on this, PM me.

Quote: JB

If you used the following paytable...

2-Card AA/66 = 25:1
3-Card AA/66 = 10:1
2-Card 12 = 2:1
3-Card 12 or Trip 10s = 1:1

...then the house edge would be 4.7%.

That, ladies and gentleman, is the PayTable for this game! I would like to give JB 85% Credit for this game for being much smarter than I am and knowing how to use a computer to do this stuff!

JB,

If we have Trip J's/Q's/K's also pay 1:1, what would the HE be then, if you would be so kind? I want to try to get it under 2%. We might even make the Trip Payouts higher...

Quote: Paigowdan

A totally new game here.

Questions/items:
1. Feedback in real play: Did you deal and play this game as a new game demo for a group, with people who are not family and friends?
2. House edge of 1.5% to 4.9% is fine for a new carnival game, shading to the high side on a slowly dealt game, to the low side on a quick game. It's pretty much on target here.
3. Side bets are a must: main bet with one or two sides bets. Some Two-card "Hole card" side bet ideas: any pairs, any suited, suited connectors, etc.
4. Mike's "New Game Design" commandment #2 (Thou Shalt Covet Games that are Already Popular) isn't followed here, and it is very hard to introduce a game that doesn't have a common and current hook to the gambling public and its psyche.
5. patent, documentation, and gaming math issues: to really present a game to a distributor, patent work, documentation, and gaming math pretty much have to be squared away. If you need on who to go on this, PM me.

1.) No. I just came up with the idea last night. I typed it straight into here. I have no idea where I screwed the Math up so badly.

2.) Thanks, Dan! The player has no decision to make, so the idea is that this game will fly! That's why I hope to get the HE under 2%.

3.) The first thing I would want to do is have a dollar Progressive on Inside-Aces, so that would be one thing. The second thing I would want to do is have a, "Starting hand," side bet as you suggested, but I don't know how closely those payouts have to relate to the base game, if at all. I was thinking a certain payout for any Inside Pair, then a Payout for Inside-Sixes/Inside-Aces, and just for kicks, a Natural Blackjack payout. The Natural Blackjack payout would be the lowest, of course, because it is the most likely result.

-The ideal HE on the Progressive would be between 15-20%, while the ideal HE on the other SB would be right around 5%.

4.) I respect your opinion on this, but I think it's similar enough to a game such as Baccarat.

5.) I have no intention of patenting anything. This game is just an idea I had. If anyone wants to use the idea and try to make it happen, they are welcome to it, hopefully they will give me credit as co-inventor.

"Sharpshooter Progressive"

I think I can refrain from F***ing this one up, I hope.

4/52 * 3/51 = .0045248868778281 * 50 (Base Starting Amount 50:1) = $0.226 (on $1 bet) EV

$0.63 of every dollar bet goes to the Progressive. The HE on the Progressive is about 14.4%.

"Pairs & Natural Blackjack"

Blackjack:

16/52 * 4/51 = .02413

Bullets & Sixes

4/52 * 3/51 = .004524886778281 (Each)

All Other Pairs:

4/52 * 3/51 = .004524886778281 (Each)

B&S:

.004524886778281 * 2 = .009049773556562

OP:

.004524886778281 * 11 = .049773754561091

___

Natural BJ Pays 1:1 = .02413 * 1 = $0.02413

Other Pairs Pay 10:1 = .049773754561091 * 10 = $0.49773754561091

Bullets and Sixes Pay 50:1 = .009049773556562 * 50 = $0.4524886778281

EV of $1.00 = $0.974356

HE: 2.5644%

---If you wanted to, you could remove the Natural BJ pay and have a HE of just under 5%.

Quote: Mission146

The player doesn't actually do anything or make any kind of decision in this game, so it should move right along!!! The Low HE is designed due to the fast speed of the game.

Boring.
Next new game please!

Another mindless game.
No player decisions.

These games allow the player to make decisions even if it is between just 2 bets.
Baccarat
Blackjack
Roulette
Craps
Poker
3 Card Poker
Slots. Most slots allow the player to select how many lines to play and the number of credits to play.
This list looks like the most popular games in a casino.
I forgot sports betting.

Players like, wait... LOVE to make decisions when gambling.

As discussed, we could incorporate a, "No 12," bet, but it would be a very small pay relative to the bet.

I have to agree with Mustangsally on this.....I also thought a no decision, easy game, new player break in game concept would work when I designed Easy Over Under. You just picked Over or Under and let the dice and cards play out your fate. No player involvement was the biggest negative comment I got from players and the deal staff.....you need to put a strategic decision into the game to make it something players want to come back and play again and again.

This all sounds illogical when you have Roulette out there with its staying power and even Baccarat with its one side or the other decision. The key I with these games is they have been around forever and have a following that is content with what these games offer (note that bacc has a lot of non-asian folks wondering why the game is so popular since there are no decisions, but it has been part of the asian gambling culture for so long that is works).

Players like decisions, a sense of control.....Teliot's book "Contemporary Casino Table Game Design" has a lot of these concepts fleshed out and is an excellent read for those interested.