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- How many ways are there to layout 2 out 3 desirable perks over 3 perk spots?
- 1 2 ?
- 1 ? 2
- ? 1 2
- 1 3 ?
- 1 ? 3
- ? 1 3
- 2 1 ?
- 2 ? 1
- ? 2 1
- 2 3 ?
- 2 ? 3
- ? 2 3
- 3 1 ?
- 3 ? 1
- ? 3 1
- 3 2 ?
- 3 ? 2
- ? 3 2
- 18 ways
- for each row there's 28 perks left to fill the question mark
- between rows with question marks there will be duplicates,
- 1 2 3 is matched by 1 2 ? and 1 ? 3 and ? 2 3
- but 1 2 4 is only matched by 1 2 ?
- 1 4 3 is only matched by 1 ? 3
- 4 2 3 is only matched by ? 2 3
- so duplicates only happen when the question mark is filled by one of the accounted for perks
- there won't be so many duplicates so let's say there's 18 * 28 ways to lay out (2 out of 3) desirable perks
- there's 30*29*28 possible ways to fill 3 spots using 30 perks
- chance to roll 2 out 3 desirable perks in a single roll = 18*28 / 30*29*28 = 0,0207
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