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Dundee Slaytern · 11-26-2002, 05:56 AM

More mathematical fun.

For a 1d8, it is a 1/8 chance for all the possible values from 1-8.

So... the true average damage is as follows,

( 1 * 1/8 ) + ( 2 * 1/8 ) + ( 3 * 1/8 ) + ( 4 * 1/8 ) + ( 5 * 1/8 ) + ( 6 * 1/8 ) + ( 7 * 1/8 ) + ( 8 * 1/8 ) = 4.5

For a 2d4, it is a bit trickier, the true average damage is as follows,

( 2 * 1/16 ) + ( 3 * 1/8 ) + ( 4 * 3/16 ) + ( 5 * 1/4 ) + ( 6 * 3/16 ) + ( 7 * 1/8 ) + ( 8 * 1/16 ) =

0 + 1/8 + 3/8 + 3/4 + 5/4 + 9/8 + 7/8 + 1/2 = 5

[ 11-26-2002, 05:59 AM: Message edited by: Dundee Slaytern ]

11-26-2002, 05:56 AM	#10
Dundee Slaytern Ironworks Moderator Join Date: June 10, 2001 Location: Pasir Ris, Singapore Age: 42 Posts: 11,063	More mathematical fun. For a 1d8, it is a 1/8 chance for all the possible values from 1-8. So... the true average damage is as follows, ( 1 * 1/8 ) + ( 2 * 1/8 ) + ( 3 * 1/8 ) + ( 4 * 1/8 ) + ( 5 * 1/8 ) + ( 6 * 1/8 ) + ( 7 * 1/8 ) + ( 8 * 1/8 ) = 4.5 For a 2d4, it is a bit trickier, the true average damage is as follows, ( 2 * 1/16 ) + ( 3 * 1/8 ) + ( 4 * 3/16 ) + ( 5 * 1/4 ) + ( 6 * 3/16 ) + ( 7 * 1/8 ) + ( 8 * 1/16 ) = 0 + 1/8 + 3/8 + 3/4 + 5/4 + 9/8 + 7/8 + 1/2 = 5 [ 11-26-2002, 05:59 AM: Message edited by: Dundee Slaytern ]