Just milling though this in my mind, I can think of ten:
Sacrifice fly Fielder's choice Base hit Wild pitch Passed ball Steal of home Squeeze bunt Error on a fielder (throwing or fielding) Ground out Balk by pitcher
Sounds right to me. However, in this situation, a groundout IS a fielder's choice.
A Balk, Single, Double(regular or ground rule), Triple, Home Run, Fielder's Choice, Sacrafice Fly, Sacrafice Bunt, Error (over throw and bobble), Wild Pitch, Passed Ball, Stolen Base (straight steal and/or drop 3rd strike), Walk with the bases loaded, Catchers Obstruction with the bases loaded, Hit by Pitch with the bases loaded... 15 ways I can think of (going by the way you'd score the run scoring).
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I heard there are some 60 some odd ways to score from third and 40 some odd ways to score from second. Here are a few I remember.
1. A hit
2. An error
3. A passed ball
4. A wild pitch
5. A balk
6. Bases loaded and a Walk
7. Sac fly
8. Squeeze
9. Steal
10. Drop third strike and they attempt to put out the runner at first
There is ten real answers for you. It's easy to come up with more if you really think about it.
Hall of Fame second baseman Joe Morgan has pointed out that there are 9 ways a runner can score from 3rd base with less than two outs. These would apply whether or not any other bases were occupied. I believe this is Joe's Ninefold Base Path:
1. a hit
2. a sacrifice hit (bunt or "squeeze" play)
3. a sacrifice fly
4. an error (including an error on a batted ball, an error in attempting
to pick the runner off base, the batter reaching base on a dropped third
strike, the catcher's wild throw attempting to catch another runner stealing)
5. a fielder's choice (including an ordinary groundout, a batter being put out
at first on a dropped 3rd strike, the other runner caught stealing as part
of a double steal, "the defensive team's indifference")
6. a balk by the pitcher
7. a wild pitch
8. a passed ball by the catcher
9. a stolen base (i.e., steal of home base)
These are the 9 possible scoring decisions to account for the runner's advance in the official scorer's report.
The various ways that a runner that is on third base can get to home would include a batter getting a hit and driving him home, a Pitcher balking which would allow the runner on third base to automatically advance a base, a fielder throwing a ball away which would be committing an error which would allow the runner on third base to advance to home and runners on first base, second base and third base, the current Pitcher walking the batter which would allow the runner on third base to advance to home and the runner on third base stealing home plate.
1. Hit
2. Error
3. Steal
4. Sac Fly/Bunt
5. Passed Ball
6. Wild Pitch
7. Walked In
8. Balk (catcher or pitcher)