@jon-nyc said in Puzzle time: the runt of random points:
@Horace My original intuition was similar to yours but with a different formula.
The probabilities would be additive, not multiplicative, no?
So if m is the expected minimum value, that meant that:
10 * p(x<m) = 0.5, or
p(x<m) = 0.05
which gave me 1/20.
But as you pointed out that would be a median value, the mean would be higher than that.
My formula gives the correct median. It's the chance of rolling higher than "x" 10 times in a row, so multiplicative.