The code for your algorithm is easy:

my @random_numbers;
push(@random_numbers, int(rand(54)) + 1)
   foreach 1..10000;

my %counts;
$counts{$_}++
   foreach @random_numbers;

printf("%2d: %d\n", @$_)
   foreach
      sort { $a->[1] <=> $b[1] || $a->[0] <=> $b[0] }
         map { [ $_, $counts{$_} ] }
            keys(%counts);
[download]

He generated 10000 random numbers between 1 and 54 and stored the frequency distribution in his array.

Can the same number be picked twice? If not, your algo isn't representative. here's a fixedup version:

# Picks 6 unique numbers uniformly between 1 and 54 inclusive.
sub pick6 {
   my @nums;
   push(@nums, int(rand(54 - $_)) + 1)
      foreach 0..5;

   for my $i (1..5) {
     for my $j (0..$i-1) {
        $num[$i]++ if $num[$i] >= $num[$j];
     }
   }

   return @nums;
}

my @random_numbers;
push(@random_numbers, pick6())
   foreach 1..10000;

my %counts;
$counts{$_}++
   foreach @random_numbers;

printf("%2d: %d\n", @$_)
   foreach
      sort { $a->[1] <=> $b[1] || $a->[0] <=> $b[0] }
         map { [ $_, $counts{$_} ] }
            keys(%counts);
[download]

Hint: imbedded FOR LOOPS

"embedded" is spelled with an "e", and "nested" is the proper term when talking about loops within loops.

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