2d6 stuff
2d6 stuff page.
2 standard dice with 6 sides marked 1 through 6.
from sums, to tables, to collecting all the sums or the combinations.
2d6 sums table photo. shows the total number of sums (36)
rolling all 11 sums from 2d6.
the probability distribution. Used a Markov chain in Pari Gp calculator
below is the sheet for the distributions. below that are 2 photos of the distributions
1r. the average number of rolls of 2d6 to get at least 1 of every sum (coupon collecting with uneven probabilities) is 61.21738 from R code below. uses inclusion exclusion.
(exactly: 769,767,316,159 / 12,574,325,400)