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→A bit of mathematics
(→A bit of mathematics: Made probability table clearer using best practice.) |
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Note that due to the mathematics of dice rolls, the difference between, say, 1d8 and 2d4 is more than just the higher minimum value of 2 on the 2d4 roll. With the d8, you have an equal chance of getting, say, a 5 and an 8. On the other hand, the 2d4 roll is statistically more likely to lead to a total value of 5, than a total value of 8. This is most easily explained with a table of all possible outcomes: | Note that due to the mathematics of dice rolls, the difference between, say, 1d8 and 2d4 is more than just the higher minimum value of 2 on the 2d4 roll. With the d8, you have an equal chance of getting, say, a 5 and an 8. On the other hand, the 2d4 roll is statistically more likely to lead to a total value of 5, than a total value of 8. This is most easily explained with a table of all possible outcomes: | ||
{| class="wikitable" style="text-align: center;" | {| class="wikitable" style="text-align: center; width: 15em;" | ||
|+ Possible results of a 2d4 roll, highlighting the outcomes resulting in a total value of 5 | |+ Possible results of a 2d4 roll, highlighting the outcomes resulting in a total value of 5 | ||
|- | |- | ||
! | ! rowspan="2" colspan="2" | + | ||
! colspan="4" scope="col" | 2<sup>nd</sup> roll | |||
|- | |- | ||
| '''1''' | ! scope="col" | '''1''' | ||
|'''3''' | ! scope="col" | '''2''' | ||
|'''4''' | ! scope="col" | '''3''' | ||
! scope="col" | '''4''' | |||
|- | |- | ||
! rowspan="4" |1<sup>st</sup> roll | ! rowspan="4" scope="row" | '''1<sup>st</sup> roll''' | ||
| '''1''' | ! scope="row" | '''1''' | ||
|4 | | 2 || 3 || 4 || {{colour|red|'''5'''}} | ||
|{{ | |||
|- | |- | ||
| '''2''' | ! scope="row" | '''2''' | ||
|{{ | | 3 || 4 || {{colour|red|'''5'''}} || 6 | ||
|6 | |||
|- | |- | ||
| '''3''' | ! scope="row" | '''3''' | ||
|6 | | 4 || {{colour|red|'''5'''}} || 6 || 7 | ||
|7 | |||
|- | |- | ||
| '''4''' | ! scope="row" | '''4''' | ||
|7 | | {{colour|red|'''5'''}}|| 6 || 7 || 8 | ||
|8 | |||
|} | |} | ||