Cool snippet! Interesting to see that (at least on my Debian box) it takes a few dozen iterations to actually reach middle ground:
perl -Mstrict -Mwarnings -E 'my $WIDTH = 50;
my ( $try, $i, $j ) = (0) x 3;
for ( 1 .. 40 ) {
++$try;
my $rand = `perl -E "say rand()"`;
$rand < .5 ? ++$i : ++$j;
printf qq[%${WIDTH}s : %s\n],
"#" x ( $i * $WIDTH / $try ),
"#" x ( $j * $WIDTH / $try );
}'
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