If you make more than three mistakes, you're not going to complete the game; so if that's what you're aiming for, you might as well just throw all those balls away and start again.
I tested both HashCat and MGrashalmS's method's and i got a much higher percentage of the notes using to former (about 85% to 70%) but got much higher scores using the latter (about 13,000,000 avg to 8,500,000 avg). On the whole the second method was better.