Dice rolls: Difference between revisions

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Note that due to the mathematics of dice rolls, the difference between 1d8 and 2d4 is more than just a higher minimum value 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 the possible outcomes:
Note that due to the mathematics of dice rolls, the difference between 1d8 and 2d4 is more than just a higher minimum value 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 the possible outcomes:


{| class="wikitable" style="width: 75%; text-align: center;"
{| class="wikitable" style="width: 30%; text-align: center;"
|+ Possible results of a 2d4 roll  
|+ Possible results of a 2d4 roll, highlighting the number of possibilities resulting in a total value of 5
|-
|-
! First roll !! Second roll !! Total value
! First roll !! Second roll !! Total value
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| 1 || 3 || 4
| 1 || 3 || 4
|-     
|-     
| 1 || 4 || 5
| 1 || 4 || {{color|red|'''5'''}}
|-     
|-     
| 2 || 1 || 3
| 2 || 1 || 3
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| 2 || 2 || 4
| 2 || 2 || 4
|-     
|-     
| 2 || 3 || 5
| 2 || 3 || {{color|red|'''5'''}}
|-     
|-     
| 2 || 4 || 6
| 2 || 4 || 6
Line 66: Line 66:
| 3 || 1 || 4
| 3 || 1 || 4
|-     
|-     
| 3 || 2 || 5
| 3 || 2 || {{color|red|'''5'''}}
|-     
|-     
| 3 || 3 || 6
| 3 || 3 || 6
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| 3 || 4 || 7
| 3 || 4 || 7
|-     
|-     
| 4 || 1 || 5
| 4 || 1 || {{color|red|'''5'''}}
|-     
|-     
| 4 || 2 || 6
| 4 || 2 || 6