Difference between revisions of "Fortune's Fire Resort & Casino"

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! colspan="3" | Outside
 
! colspan="3" | Outside
! colspan="2" |
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! colspan="2" style="border-style:solid solid hidden solid;" |
 
! colspan="4" | Middle
 
! colspan="4" | Middle
! colspan="2" |
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! colspan="2" style="border-style:solid solid hidden solid;" |
 
! colspan="3" | Outside
 
! colspan="3" | Outside
 
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Note that the house wins on three of a kind, both on 3 and 18. While '''''High''''', '''''Low''''' and '''''Medium''''' pays even (2:1), '''''Outside''''' pays quintuple times (5:1). It might seem '''''Outside''''' is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (19/108 to be exact) for the total to be any of these numbers. If we check the probability density function:
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Note that the house wins on three of a kind, especially on 3 and 18. While '''''High''''', '''''Low''''' and '''''Medium''''' pays even (2:1), '''''Outside''''' pays quintuple times (5:1). It might seem '''''Outside''''' is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (36/216 to be exact, not 38/216 since the house wins on all 2s and 5s) for the total to be any of these numbers. If we check the probability density function:
  
 
[[File:Hi middle lo probability density function.png|650px]]
 
[[File:Hi middle lo probability density function.png|650px]]
  
'''''High''''' and '''''Low''''' are the best bets both having 107 / 216 chance while '''''Medium''''' has 25 / 54.
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'''''High''''' and '''''Low''''' are the best bets both having 105/216 chance while '''''Medium''''' has 98/216.
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Note that the chances above are calculated after removing the chances for three of a kinds within the bets' range. As an example, there is 100/216 chance for the sum be within the range of '''''Medium''''' (9, 10, 11 and 12) but the house wins for all 3s and 4s, reducing the chance to 98/216.
  
 
==See Also==
 
==See Also==

Revision as of 07:23, 23 August 2012

Fortune's Fire Resort & Casino

Fortune's Fire Resort & Casino is a casino resort in Fire Isle that went live with Publish 78. It is located at the west of the entrance to the Underworld dungeon, at 150º S 168º W. There are some rules for the House:

  • There is a zero tolerance policy for cheaters and griefers.
  • Spamming is not allowed.
  • All pets and mounts must be stabled.
  • It is also a no fly zone.

There is a tavern and a bank inside. You can buy chips from the Casino Cashiers inside the bank, each of which costs 100 Gold coins.png gold coins. There are also a message parlor tent and a beach at the north of the resort near the shore where clothing is optional.

You can get A Mug of Fortune's Fire Grog from one of the Drinks Girls if you feel like refreshing yourself at the end of a day spent on the beach. Only the dice games are open at the moment which can be played inside the white & blue tent.

Dice Games

Chuckles' Luck

Chuckles' Luck

In this game, the dealer rolls three cube six-sided dice. The bet is placed according to the recurrence of a single face of the dice.

Recurrence Odds Pays
None 125 / 216 (~58%) None
1 75 / 216 (~34%) 1 times the bet
2 15 / 216 (~7%) 2 times the bet
3 1 / 216 (~0.5%) 3 times the bet

: Note that while the probability of rolling at least one of a particular number is 91 / 216, the probability of rolling only one of a particular number is 75 / 216. In other words, there is a 91 / 216 chance for your number to come up at least once.

Hi-Middle-Lo

Hi-Middle-Lo

In this game, the dealer rolls three cube six-sided dice. The bet is placed according to the total of the three dice:

Low High
4 5 6 7 8 9 10 11 12 13 14 15 16 17
Outside Middle Outside

Note that the house wins on three of a kind, especially on 3 and 18. While High, Low and Medium pays even (2:1), Outside pays quintuple times (5:1). It might seem Outside is the best bet, paying 5:1 on a win, but there is in fact less than 1 in 5 chance (36/216 to be exact, not 38/216 since the house wins on all 2s and 5s) for the total to be any of these numbers. If we check the probability density function:

Hi middle lo probability density function.png

High and Low are the best bets both having 105/216 chance while Medium has 98/216.

Note that the chances above are calculated after removing the chances for three of a kinds within the bets' range. As an example, there is 100/216 chance for the sum be within the range of Medium (9, 10, 11 and 12) but the house wins for all 3s and 4s, reducing the chance to 98/216.

See Also