![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_rule.jpg\")
<\/td>\n<\/tr>\nNormally, you roll 9 dice. However, you are free to add up to 3 more dice by paying for
\nthem.<\/p>\n
The cast dice are sorted: All 1s constitute one group, all 2s, \u2026, all 6s. These groups are
\nplaced on the board which is shown at the right hand side following these rules:<\/p>\n
- \n
- The dice group with the lowest value is placed on the lowest row, i.e. “camel”.<\/li>\n
- The next group is placed on the next row, i.e. “sack”.<\/li>\n
- and so on, until<\/li>\n
- the dice group with the highest value is always<\/b> placed in the top row, i.e.
\n“gold”<\/li>\n<\/ul>\nOn the right hand side, you can see an example result. You’ll notice that below the
\n“gold” row, there can be gaps.<\/p>\nSo, it’s time to ask some interesting questions:<\/p>\n
What is the probability that the “vase” row gets one, two or three dice?<\/h3>\n
and<\/p>\n
What is the effect of buying 1 to 3 dice in addition to the 9 default dice?<\/h3>\n
When optimising your strategy, it won’t hurt if you have some idea about those results, and
\nthis is why I have created the tables which now follow. However, it should be clear that there are
\nseveral other factors in Yspahan which determine who wins. Besides, I did not take into account the
\nrule which allows you to add another die to an existing dice group in exchange for a special
\ncard.<\/p>\nNotes on the tables<\/h3>\n
\n
\n 9 W6<\/td>\n min 1<\/b><\/td>\n min 2<\/b><\/td>\n<\/tr>\n \n Gold<\/b><\/td>\n 100<\/td>\n 59<\/td>\n<\/tr>\n<\/table>\n This is the table for rolling 9 six-sided dice (9 W6). All quoted numbers are rounded
\npercentages of probabilities.<\/p>\nSince the group with the highest number is always<\/b> placed on “gold”, the
\nprobability for having at least one die there is 100%. (The latter statement is technically not
\ntrue. In case all dice show the same number, they are put on the camel row. However, this is so
\nimprobable an event that the rounded probability for “gold” stays 100% in all considered
\ncases.)<\/p>\nThe event of “at least<\/b> 2 dice (i.e. 2, 3, 4 \u2026 or 9 dice) on the the
\n\u201agold’ row” has a probability of 59%.<\/p>\nAttention:<\/b>
\n
\nIf you notice a value of 100% in those tables, it is (the camels excepted) a rounded value being in
\nreality a number between 99,5% and 100%. Of course, for real gaming strategies, such details are
\nirrelevant, and that’s why I kept to rounded values.<\/p>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r1.gif\")
<\/td>\n<\/tr>\n\n table 1<\/b>
\n
\nProbabilities when using 9 dice!<\/i><\/td>\n<\/tr>\n<\/table>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r2.gif\")
<\/td>\n<\/tr>\n\n table 2<\/b>
\n
\nProbabilities when using 10 dice!<\/i><\/td>\n<\/tr>\n<\/table>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r3.gif\")
<\/td>\n<\/tr>\n\n table 3<\/b>
\n
\nProbabilities when using 11 dice!<\/i><\/td>\n<\/tr>\n<\/table>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r4.gif\")
<\/td>\n<\/tr>\n\n table 4<\/b>
\n
\nProbabilities when using 12 dice<\/i><\/td>\n<\/tr>\n<\/table>\nAt the start of the game, or when employing the “caravan strategy”, you will probably
\ngo for “mass”. You won’t be picky about which spot to chose, as long as there are
\nreally lots of dice on offer!<\/p>\nTherefore, I’ve put together another table:<\/p>\n
\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r5.gif\")
<\/td>\n<\/tr>\n\n table 5<\/b>
\n
\nProbabilities for dicing groups of a certain size!<\/i><\/td>\n<\/tr>\n<\/table>\nConclusions<\/h3>\n
Everyone is free to draw his own conclusions from the tables above, and to adjust his game play
\naccordingly. However, there are some remarks I have to make:<\/p>\nIf the number of dice is constant, the probabilities of the lines for
\ngold, camel, sack and barrel are, more or less, the same! As a rule of thumb, expect a group of at
\nleast 1, 2 or 3 dice with a probability of 1, 2\/3 and 1\/3.<\/p>\nThis leaves the lines of chest and vase as, stochastically, somewhat
\nmore interesting.<\/p>\nHere is another table. It shows how the probabilities are changing when you decide to pay for
\nadding dice to your default of 9 dice.<\/p>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r6.gif\")
<\/td>\n<\/tr>\n\n table 6<\/b>
\n
\nProbabilities of groups of dice on the chest line, depending on the number of dice used.<\/i><\/td>\n<\/tr>\n<\/table>\n\n
\n ![\"\"\/](\"https:\/\/www.westpark-gamers.de\/Ressourcen2\/yspahan_r7.gif\")
<\/td>\n<\/tr>\n\n table 7<\/b>
\n
\nProbabilities of groups of dice on the chest line, depending on the number of vase used.<\/i><\/td>\n<\/tr>\n<\/table>\nYou will notice at first glance that paying for additional dice really does change those
\nprobabilities!<\/p>\nAnd while we’re at it…<\/h3>\n
The victory point value on the game board is more or less like this:<\/p>\n
- \n
- Sack: 1 bis 1,33<\/li>\n
- Barrel: 1,33 bis 1,6<\/li>\n
- Chest: 2<\/li>\n
- Vase: 3 bis 4<\/li>\n<\/ul>\n
2 cubes in the chest line yield 4 victory points – just as 1 cube in the vase line. Now, the
\nprobability for having at least 2 dice in the chest line is invariably higher than having at least
\none dice in the vase line. Hence, in the long-term average, cubes in chest line might seem somewhat
\nmore advantageous than cubes in the vase line. However, don’t forget that I didn’t take
\ninto account some rules (see above).<\/p>\nI wish all of you as much fun with this wonderful game as we’ve had when playing it!<\/p>\n","protected":false},"excerpt":{"rendered":"
(Bad) Luck in Yspahan by G\u00fcnther Rosenbaum Yspahan, a game by Sebastian Pauchon, was released by Ystari in October 2006. We already published a review ) of this game. This article is about the interesting and definitely original dicing mechanism and the probabilities of different dice roll results. The Dice Placing Rules It is obvious … (Bad) Luck in Yspahan<\/span> weiterlesen