A scratch game has 16 covered squares, below which are, in some order, symbols representing 9 players (a pitcher, a catcher, and so on), 3 strikes (strike 1, strike 2, and strike 3), 1 hit, 1 home run, 1 bat, and 1 ball.
You start scratching squares randomly, and if you manage to get the hit and the home run you win (never mind other symbols) unless you already got the three strikes, because then you're out!
What are the odds of winning at this game?
Computer solutions welcome!
Randomly order the the hits and the home run and the three
strikes. You win if the last of these 5 is one of the 3 strikes,
because then you scratch both of the hits before scratching all three
strikes. Probability of winning = 3/5.
In baseball terms, this is a .600 batting average.
Did we misunderstand the problem? This seems too easy.
I agree with derek
