Eggs are sorted into two sizes $($large and extra large$)$ at the Cheerful Chicken Coop. Recently, the

economic downturn has not allowed Cheerful Chicken to repair the egg$-$sorting machine bought in

$2000.$ Instead, the company has Chick Poulet, one of the firm$$s sharper$-$eyed employees, stamp the big

eggs with a $$Large$$ rubber stamp in her right hand and the really big eggs with an $$X$-$large$$ stamp in

her left as the eggs go by on a conveyor belt. Down the line, another employee puts the eggs into one of

two hoppers, each egg according to its stamp. On average Chick breaks $8\%$ of the $120$ eggs that pass by