## Justin Turner Takes One For The TeamJune 23, 2011

Posted by tomflesher in Baseball, Economics.
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The Mets’ Justin Turner quite literally took one for the team last night when he wasn’t trying to get hit, but, oops, managed to get plunked in the bottom of the 13th inning with the bases loaded. Brad Ziegler was the losing pitcher for Oakland. It was the first game-ending hit by pitch since last year, when Mariano Rivera nailed Jeff Francoeur for the loss in a September game.

In 185 plate appearances this year, Turner has been hit three times. The other two were both by Pittsburgh Pirates pitcher Charlie Morton, eleven days apart; Morton is not especially known for hitting batters, since he, too, has only been involved in three hit batsmen this year. (The third plunking was Dane Sardinha.) It was the Mets’ only go-ahead HBP this year, and the only one of this year’s six go-ahead hit batsmen to occur in extra innings.

Turner has a way about him. He’s hit ten go-ahead RBIs this year (and yes, a hit by pitch that forces in a run is an RBI), which accounts for a little over ten percent of the Mets’ 95 go-ahead RBIs. Only Carlos Beltran, with 13, has more. It’s also the Mets’ only game-ending RBI this year. I guess Turner will take what he can get.

## Mariano’s Walk-Off BeanballSeptember 12, 2010

Posted by tomflesher in Baseball.
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Mariano Rivera did something strange tonight: He plunked in the winning run. He hit Jeff Francoeur of the Texas Rangers to force in Nelson Cruz for the winning run in extra innings. It was his fourth hit batsman of the year and only his third loss.

A walk-off beaning requires an extraordinary set of circumstances. First of all, like all walk-off plays, it requires the home team to be at bat in the bottom of the inning. In this case, it was in extra innings rather than the bottom of the 9th. It additionally requires a tied game in the bottom of said inning. Finally, it requires the bases to be loaded when the plunking occurs.

This is all magnified by the face that Rivera does not ordinarily load the bases. Assuming his 2010 OBP against (.214) held, the probability the bases being loaded with two outs or fewer is:

$p(bases loaded, 0 outs) + p(bases loaded, 1 out) + p(bases loaded, 2 outs) = (.214^3) + (.214^3 \times .786) + (.214^3 \times .706^2) = .0098 + .0077 + .0061 = .0236$

Then, if that situation occurs, we still have to deal with the unlikely event of Mariano hitting a player with a pitch. Before this evening, Mo had hit three batters in 196 plate appearances, for a rate of about .0153. Thus, the probability of Mariano Rivera hitting a batter with a pitch after having loaded the bases is

$.0236 \times .0153 \approx .0004$

That means that in 10,000 innings, we would expect that to occur about 4 times, assuming that Mariano wasn’t removed after having walked the bases (which would obviously introduce some bias).

Oddly, the last walk-off hit by pitch also involved the Yankees, albeit on the other side, way back on July 19 of 2008. That night, the A’s’ Lenny DiNardo hit Jose Molina with a pitch to force in Derek Jeter, again in extra innings. David Robertson grabbed the win that night.