In a retrograde analysis puzzle, one tries to deduce the history of a game from the current state of play. The most familiar examples concern chess, but Smith College mathematician Jim Henle worked out that it can also be done in baseball. This is the batting order of the Mudville Slugs:
- Flynn
- Blake
- Casey
- Hobbes
- Davis
- Shlabotnick
- Thayer
- Cooney
- Barrows
We’re told also that in the ninth inning Casey came to bat for the fourth time, while the bases were loaded with two men out. Casey struck out, leaving the team with another loss. How many runs did Mudville score altogether?