4 ms·
Off the top of my head, I don't know. It MAY be related to the fact that 6*3 is 216, but I don't have deep enough statistics knowledge to say for sure. You coud
by randomswede 5y ago
Off the top of my head, I don't know. It MAY be related to the fact that 6*3 is 216, but I don't have deep enough statistics knowledge to say for sure. You coudl try it again with 3 8-sided dice and rolling 24, that should give you ~50% at 344 iterations, and ~90% at 1177 iterations. If my supposition that the mean is related to the possible rolls, then the mean should end up being 512.
Iteration counts gathered with Python and a (manual) binary search (actually faster than writing code).
- sin7 5y agoruns <- 100000 x <- vector(mode = "numeric", length = runs) for (i in 1:runs){ while (sum(sample(1:8, size = 3, replace = TRUE)) != 24){ x[i] <- x[i] + 1 } } summary(x) Min. 1st Qu. Median Mean 3rd Qu. Max. 0.0 146.0 353.0 511.8 708.0 5112.0 quantile(x, c(0.5, 0.8, 0.9)) 50% 80% 90% 353 824 1187 Strangely enough the mean agrees. The other ntiles are off a bit, but that's randomness for you.