icosahedron152:
Guess how often the magic 1 came up in 60 rolls?
Three times!
What are the odds of that?
Well, the odds of one of six numbers not coming up in 20 rolls is:
(probability of other 5 numbers coming up)^20 = (5/6)^20 = 0.026 = 2.6%
The odds of that happening three times, would be 0.0017%. 17 in every 10000 times.
(Edit: Figured another way:
chance of rolling 57 non-1s = (5/6)^57 = 0.003%. 30 in 1000 times.)
Which doesn't actually tell us that much. It could happen again on your next 60 rolls or it might not never happen to you again. That wouldn't tell us anything about the dice roller, really.
Other interesting facts:
Odds of rolling a 20 on 1d20: 5%
Odds of rolling anything
but a 20 fifty-eight times in a row: 5%
Odds of rolling a 1 on 1d6: 16.6%
Odds of rolling anything
but a 1 ten times in a row: 16.1%
Odds of rolling an 18 on 3d6: 0.46%
Odds of rolling six ability scores no higher than 10: about 0.46%
This message was last edited by the user at 19:04, Thu 26 July 2018.