Editing Exploding die (section)

== Math stuff ==

How do you get the average of an exploding die? If you ask a friend who's good at math, he'll tell you a long explanation about [[Wikipedia:Geometric distribution|geometric distribution]] (where "success" here means "the die stops exploding"), of which you'll forget half. What you'll remember is the conclusion:

 ''The average of an exploding Dn tends to:''
 the average of a regular Dn (which is '''(n+1)/2''') multiplied by the average number of rolls, '''n/(n-1)'''

This means that for an exploding [[D6]], you'll roll the die '''1.2''' times on average, and the average result is '''3.5 * 6/5 = 4.2'''

An exploding D10 is rolled 1.11 times on average and bumps its average result from 5.5 to 6.11.

[[category:Game Mechanics]]
[[category:Dice]]