Talk:Homejinks: Difference between revisions
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imported>Cuc |
imported>Cuc (→Improved Game?: -> Improved Dice? Replaced erroneous content, replaced with different dice table.) |
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[[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 03:25, 3 November 2020 (PST). Revised [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 23:55, 3 November 2020 (PST). Revised (added point 4.) [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 22:03, 3 December 2020 (PST) |
[[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 03:25, 3 November 2020 (PST). Revised [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 23:55, 3 November 2020 (PST). Revised (added point 4.) [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 22:03, 3 December 2020 (PST) |
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== Improved |
== Improved Dice? == |
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Previously, I made an error in counting and thought that some combos have a different probability to appear. But it's clear that any combo (say Red or Green) has a probability of 5/6 to appear, because only ONE combo doesn't have either color (in this case, Yellow and Blue). We do not need a different dice. But some probabilities may be lower by removing some colors (but which one?). I had a design of a dice that featured the probability of 4/6 for the combos (R or G) and (G or B). We can remove G from the Y/G combo to achieve this. |
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In the probability table above, we get the following probabilities for Combos: |
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{| class="wikitable" |
{| class="wikitable" |
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! N !! Color Combo |
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| 1 || R/B |
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| 2 || Y |
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| 3 || R/G |
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| 4 || Y/B |
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| 5 || R/Y |
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| 6 || G/B |
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'''Table.''' Improved Dice? |
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'''Table.''' Probabilities and Desired Probabilities with earlier distribution. |
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I considered that two combos that do not share a color, should be on opposite sides of the dice, and perhaps that there isn't a color that adds to 6 (1+2+3) or 15 (4+5+6), but this is impossible. However, we'd like the combos Y+R and G+B to be as close to the expected 5 x 3.5 = 17.5 as possible. The following dice delivers: |
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{| class="wikitable" |
{| class="wikitable" |
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| 1 || R/B |
| 1 || R/B |
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| 2 || Y |
| 2 || Y/B |
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| 3 || |
| 3 || G/B |
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| 4 || R/Y |
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| 5 || R/ |
| 5 || R/G |
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| 6 || |
| 6 || Y/G |
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'''Table.''' Improved Dice |
'''Table.''' Improved Dice? |
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I'm sure that in practice, this dice performs equal to any other dice that has the combos distributed in a different way, but this design appeals to my sense of aesthetics. |
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[[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 15:58, 16 May 2021 (PDT) |
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