The exact value is of course 10/30 (or 1/3 or 0.333....).
If you roll more than 30 dice (so you are taking more samples for your
would you expect to see your approximate probabilities, in general, closer to
the exact solution of 0.333... or further away?
In other words, if you roll more than 30 dice, do you expect the
approximate probabilities to vary more or less than
the 0.10 to 0.60 you got with 30 dice?
Conversely, what would you expect to happen to the approximate probabilities
if you roll less than 30 dice; say only 10 dice?
Use the next page to see if your hunches are correct.