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THE BOOK--Playing The Percentages In Baseball

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Tuesday, July 08, 2008

Would you EVER walk in the tying run in the bottom of the 9th?

By Tangotiger, 03:51 PM

At Baseball Fever, the question on the table is whether you would EVER walk in the tying run in the bottom of the 9th.  My reply:


I suppose we need to come up with the scenario where it even makes sense.

Let’s suppose that the best-case scenario is where the next batter is putrid: he’s got a .200 OBP.  This would be a truly horrible batter… basically, a decent hitting pitcher.

In that case, if that batter sees the bases loaded, he’ll win the game outright 20% of the time.  The other 80% of the time, the game goes to extra innings, and both teams will split that.  So, that gives you a 60% chance of losing the game, if you walk in the tying run, and face the worst hitter imaginable.

If you decide to pitch to the greatest hitter ever, say a guy with a .500 batting average and you are guaranteed to get two runs on each hit, you only lose the game 50% of the time. 

I’m all for hunches, but a hunch doesn’t turn a .200 hitter into a .400 hitter.  It moves the needle a little.  That’s what a hunch is.  Otherwise, it is a fabrication.

Now, what if you don’t have a 50/50 chance of winning in extra innings.  Maybe you’ve got a 65% chance of winning in extra innings because you have Mariano in relief, and a fantastic hitting lineup.  So, you end up losing the 20% of the time that the crappy hitter will get on base, and the 35% of the 80% of the times the game goes in extra innings, for a total loss of 48% of the time.

So, that’s one whacked out set of conditions that you need:
- the gap in hitting between your two hitters is gigantic enormous
- the gap in extra innings expectation is gigantic enormous

***

Technically, you can walk in the tying run, but you should never reasonably expect these conditions to manifest themselves in MLB.

(7) Comments • 2008/07/16 • SabermetricsIn-game_Strategy
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