Post/Author/DateTime	Post
Alcari Ambaron 10-05-06, 07:07 PM	This is a questions for those more mathematically gifted then me. I know the average of 1d6 is 3.5. I know the average of 3d6 is 10.5 so can someone tell me if it's possible to calculate the average of 4d6 drop lowest??
metalmorphosis 10-05-06, 07:35 PM	yes... it's 12... at least, 12 is the mean.
frasmage 10-05-06, 07:38 PM	average of 3d6 = 10.5 average of 4d6 = 14 mean = 12.25 so the average score is 12.25 (12 or 13)
metalmorphosis 10-05-06, 07:40 PM	No... 12 is the mean value when rolling 4d6, drop lowest. Here's the link where we covered it last week. http://boards1.wizards.com/showthread.php?t=712064
Solaris 10-05-06, 10:11 PM	The average for the best 3 out of 4d6 is exactly 15869/1296, or approximately 12.24. The most frequently occurring scores will be 12 and 13, with 13 appearing slightly more often.
metalmorphosis 10-05-06, 11:18 PM	The average for the best 3 out of 4d6 is exactly 15869/1296, or approximately 12.24. The most frequently occurring scores will be 12 and 13, with 13 appearing slightly more often. Right... I did round down (actually I got lazy and let excel do the math for me.. I just had the formatting set to 0 decimal places for some reason *shrug*). :P 12 will appear 12.89% of the time and 13 will appear 13.27% of the time.
frasmage 10-06-06, 07:30 AM	thank you very much... so I was right doing it the simple way?
metalmorphosis 10-06-06, 09:05 AM	thank you very much... so I was right doing it the simple way? Shut up. :P
Solaris 10-06-06, 02:28 PM	so I was right doing it the simple way? You coincidentally got close.
metalmorphosis 10-06-06, 03:05 PM	Here's a rough representation of the curve generated by 4d6 - drop lowest... And a fine representation of my boredom this afternoon (wishing something would break so I'll have work to do). 14% x x x x x x 12% x x x x x x x x x x x x x x x 10% x x x x x x x x x x x x x x x x x x x x x x x 8% x x x x x x x x x x x x x x x x x x x x x x x x x x x x 6% x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 4% x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 2% x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 0% _ x x x x x x x x x x x x x x x 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Score: 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 # occurences: 1 4 10 21 38 62 91 122 148 167 172 160 131 94 54 21 Chance of roll: 0.08% 0.31% 0.77% 1.62% 2.93% 4.78% 7.02% 9.41% 11.42% 12.89% 13.27% 12.35% 10.11% 7.25% 4.17% 1.62% Ok... seriously... I was just bored. :P