the approximate probability of rolling a 5 or a 6

varying from about 3/30 (or 0.10) to 18/30 (or 0.60).

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
simulation)

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.**