Problem 2
During my weekly gambling trip to the casinos in
Council Bluffs, I witnessed an interesting discussion.
One group of gamblers insisted that, when 3 6-sided
dice are rolled, a 9 and a 10 have an equally likely
chance of appearing. Another group said that a 10 has
a better chance of appearing than a 9.
Who's correct in this discussion? Formally, if I had
a red die, a green die, and a blue die, and rolled
them all simultaneously, what is the probability of
rolling a 9? Of rolling a 10?
Justify your
answer with some
computations - rolling 3 dice
a large number of times will
not suffice for
this one.