Some possible improvements in efficiency:
Assume your dice are ordered highest to lowest (that is, 6-5-5-4 is the same result as 4-5-6-5).
You don't have to roll the lowest die, just note how many possible values there are for it.
Then the code looks like this:
my ($sum, $rolls) = (0,0);
for my $hi (1..6) {
for my $mid (1..$hi) {
for my $low (1..$mid) {
# The drop value can be anything from 1..$low
$sum += ($hi + $mid + $low) * $low;
$rolls += $low;
}
}
}
printf "The average value is %g\n", $sum/$rolls;
I get a nice even 12, so obviously there's some hole in my methodology.
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