Question: it’s the end of a close game of cornhole, and your team is $3$ points away from the win. By house rules, you have to hit the $3$ points exactly, or you lose. On your team are three athletes. The first is The Aggressor who has a $40%$ chance to get the cornhole, a $30%$ chance to hit the board and a $30%$ chance to miss entirely. The second is The Conservative who has a $10%$ chance to get the cornhole, a whopping $80%$ chance to hit the board, and a $10%$ chance to miss entirely. Finally, there’s The Waste who’s blind drunk at every game and will always miss the board. Given your roster and the free choice to use any of them in any situation, and you play optimally, what is the chance that you win the game?