-# { 1 => 1/3, 2 => 1/3, 3 => 1/3 } * 0.5 + { 2 => 1/9, 3 => 2/9, 4 => 3/9, 5 => 2/9, 6 => 1/3 } * 0.5
-my $exp_32 = { 1 => 1/3/2, 2 => (1/3+1/9)/2, 3 => (1/3+2/9)/2, 4 => 3/9/2, 5 => 2/9/2, 6 => 1/3/2 };
+# { 1 => 0.5, 2 => 0.25, 3 => 0.25 } * 0.5 + { 2 => 0.25, 3 => 0.25, 4 => 0.3125, 5 => 0.125, 6 => 0.0625 } * 0.5
+my $exp_32 = { 1 => 0.5/2, 2 => (0.25+0.25)/2, 3 => (0.25+0.25)/2, 4 => (0.3125)/2, 5 => (0.125)/2, 6 => (0.0625)/2 };