16 rolls 3 to1

24 rolls 5 to 1

32 rolls 7 to 1

40 rolls 12 to 1

45 rolls 30 to 1

50 rolls 100 to 1

After 50 rolls doesn't matter. It stops at 50 rolls

Quote:KimtransportOn the Roll to Win hybrid tables, there are at some of the tables, a side bet called Hot Shooter Bonus. Not all casino's have this turned on in their software. Harrah's Las Vegas has it turned off. Harrah's Cherokee and Murphy Nc have it on. I would like to know the house edge on the game. You can bet from $1 to $50 before a new shooter rolls their first roll. Come out roll and all rolls count. It's the total number of rolls before a 7 out. If the shooter rolls 8 rolls it pays 1 to 1. (you get your initial bet back).

16 rolls 3 to1

24 rolls 5 to 1

32 rolls 7 to 1

40 rolls 12 to 1

45 rolls 30 to 1

50 rolls 100 to 1

After 50 rolls doesn't matter. It stops at 50 rolls

Two questions:

1. Does the roll where you seven out count? For example, you make seven rolls, but on the eighth roll, you seven out - do you win or lose?

2. You say "it pays 1 to 1. (you get your initial bet back)." Does that mean that if you bet 1 and you make, say, 10 rolls before sevening out, you get just your initial bet back, or your initial bet plus 1 more? The first one is "1 for 1," not "1 to 1"; the second one is "1 to 1." I am assuming that all payouts are either "for 1" or "to 1,"

Quote:Ace2This is easily solved with a Markov chain (only five states). Unfortunately I don’t think there’s another feasible way to solve it.

Neither do I.

If the odds are all assumed to be "for 1" (otherwise this is an AP) and the roll that sevens out is not counted (i.e. seven rolls followed by a seven out is a loss), the HE is 21.561%,

The payouts appear to be "for 1". Since this would qualify as a slot machine, if you bet $10 or more on the side bet and $200 or more on the Don't for a 7-out after 51 rolls, you'll win $1200+ on a 7-out and trigger a tax form that shuts down your screen until someone shows up and it could be a major inconvenience. If you're gonna bet $100 and win $100 for 1, that's a $10,000 winner's check right there.

If you get your bet back, i.e. a push, then mathematically, it's 1 FOR 1. The other pay lines you listed are probably similarly x FOR 1 which means: your value less 1 'to 1'.Quote:KimtransportIf the shooter rolls 8 rolls it pays 1 to 1. (you get your initial bet back).

I used the numbers from that page to come up with this table.I'm not sure if I did this right, but here's what I came up with:

Rolls | Odds | X for 1 | Pay |
---|---|---|---|

8 | 0.370 191 35 | 1 | 0.370 191 35 |

16 | 0.113 530 70 | 3 | 0.227 061 40 |

24 | 0.034 775 54 | 5 | 0.139 102 16 |

32 | 0.010 648 64 | 7 | 0.063 891 84 |

40 | 0.003 260 44 | 12 | 0.035 864 84 |

45 | 0.001 556 00 | 30 | 0.045 124 00 |

50 | 0.000 742 57 | 100 | 0.073 514 43 |

Total | 0.954 750 02 | ||

Edge | 0.045 249 98 |

That's a house edge of 4.5% which is relatively low for a side bet.

Note that if I used your original numbers for the six lines other than the push, then I get a player advantage of 11.9%.

Of course, I'm not entirely sure I didn't miss something.

Quote:DJTeddyBearOf course, I'm not entirely sure I didn't miss something.

I think you did

The probability of getting between 8 and 15 rolls, which pays 1 for 1, is the probability of getting to 8 rolls minus the probability of getting to 16 rolls.

The probability of getting between 16 and 23 rolls, which pays 3 for 1, is the probability of getting to 16 rolls minus the probability of getting to 24 rolls.

And so on.

When you adjust the numbers, you get this:

Rolls | Prob | Odds (for 1) | Pays |
---|---|---|---|

8 | 0.25666065 | 1 | 0.25666065 |

16 | 0.07875516 | 3 | 0.23626548 |

24 | 0.0241269 | 5 | 0.1206345 |

32 | 0.0073882 | 7 | 0.0517174 |

40 | 0.00170444 | 12 | 0.02045328 |

45 | 0.00081343 | 30 | 0.0244029 |

50 | 0.00074257 | 100 | 0.074257 |

Total | 0.78439121 | ||

House Edge | 0.21560879 |

Quote:KimtransportYes the roll where you seven out counts

In that case, the HE is only 9.074038%

However, I see in the above photo that 100 is paid for "over 50 rolled," in which case, the HE is 9.902889%

Quote:ThatDonGuyIn that case, the HE is only 9.074038%

However, I see in the above photo that 100 is paid for "over 50 rolled," in which case, the HE is 9.902889%

I agree. Here is my new page on Hot Shooter Jackpot. I welcome all comments.

You missed a line in the rules section where you list the bet/payouts.Quote:WizardI agree. Here is my new page on Hot Shooter Jackpot. I welcome all comments.

Um… You were right the first time. It’s a push.Quote:KimtransportGuess I phrased it wrong. If you have $5 on the hot shooter bonus and the shooter rolls 8 times. You get paid $10. You're original wager plus $5. Sorry for the confusion.

Changing that ‘error’ alone would make it about a 20% player advantage (assuming everything else in the Wiz article is right).

Quote:WizardI agree. Here is my new page on Hot Shooter Jackpot. I welcome all comments.

At the bottom of this WOO page, the heading "External Links" has a spelling typo.