Added more details on probability distributions for vein and patch counts
imported>76561198426930288 |
imported>76561198060149389 (Added more details on probability distributions for vein and patch counts) |
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==Player Tips & Tricks== | ==Player Tips & Tricks== | ||
Magnets appear in patches of 14-17 veins. | Magnets appear in patches of 14-17 veins. For any patch there's a 40% chance of getting 15 veins, and a 20% chance of getting 14, 16, or 17 veins. The average number of veins in a patch is 15.4. | ||
The number of patches is random, the | The number of patches on a planet is a random integer ranging from 1 to 12. There will always be exactly 2 stars which have unipolar magnets. Each will each exactly one planet, so the total number of patches ranges from 2 to 24. | ||
The probability of each number of patches on one planet is shown in the following table. The expected number of patches on a planet is 2.841. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
Line 41: | Line 44: | ||
!9 | !9 | ||
!10 | !10 | ||
!11 | !11 | ||
!12 | |||
|- | |- | ||
|35% | |35.00% | ||
|22. | |22.75% | ||
|14. | |14.79% | ||
|9. | |9.61% | ||
|6. | |6.25% | ||
|4. | |4.06% | ||
|2. | |2.64% | ||
|1. | |1.72% | ||
|1. | |1.12% | ||
|0. | |0.72% | ||
| | |0.47% | ||
|0.88% | |||
|} | |} | ||
With only 2 planets containing unipolar magnets, the probabilities for total vein patch counts across a galaxy are show in the following table. The expected number of patches in a galaxy is 5.682. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
!Vein Patch Count | |||
!2 | !2 | ||
!3 | !3 | ||
Line 67: | Line 73: | ||
!9 | !9 | ||
!10 | !10 | ||
!11 | !11 | ||
!12 | |||
!13 | |||
!14 | |||
!15 | |||
!16 | |||
!17 | |||
!18 | |||
!19 | |||
!20 | |||
!21 | |||
!22 | |||
!23 | |||
!24 | |||
|- | |||
|Probability | |||
|12.25% | |||
|15.92% | |||
|15.53% | |||
|13.46% | |||
|10.93% | |||
|8.53% | |||
|6.47% | |||
|4.80% | |||
|3.51% | |||
|2.52% | |||
|1.81% | |||
|1.68% | |||
|1.03% | |||
|0.62% | |||
|0.37% | |||
|0.22% | |||
|0.13% | |||
|0.08% | |||
|0.05% | |||
|0.03% | |||
|0.01% | |||
|0.01% | |||
|0.01% | |||
|- | |- | ||
| | |Cumulative Probability | ||
| | |100% | ||
| | |87.75% | ||
| | |71.83% | ||
| | |56.30% | ||
|8. | |42.84% | ||
|6. | |31.91% | ||
|4. | |23.38% | ||
| | |16.91% | ||
| | |12.11% | ||
|8.60% | |||
|6.06% | |||
|4.24% | |||
|2.56% | |||
|1.53% | |||
|0.91% | |||
|0.54% | |||
|0.31% | |||
|0.18% | |||
|0.10% | |||
|0.06% | |||
|0.03% | |||
|0.02% | |||
|0.01% | |||
|} | |} | ||
Given that the average number of patches in a galaxy is 5.682 and the average number of veins in a patch is 15.4, we have an average number of veins in a galaxy of 87.5. | |||
[[Category:Item]] | [[Category:Item]] | ||
[[Category:Natural Source]] | [[Category:Natural Source]] |