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Situation:
2 outs, runners on 1st and 3rd, runner 1 leaves early to steal 2nd and gets caught in a pickle 1-4-3-4... the runner on 3rd scores during the pickle and before runner 1 is eventually tagged out at 2nd.

Would this be the correct scoring:
runner on 3rd >safe, home, stolen base
runner on 1st >out, second, caught stealling, 1-4-3-4-3-4

Would the runner on 1st get any credit for extending the 'pickle' to allow the runner to score or just a big pat on the back?

You got it right.

No.

thanks

I don't think you can have a stolen base on a play where a runner is caught stealing. My first guess is that R3 should score 'On the Throw'.

Good call PetroGuy...

MLB rule 10.07.d

(d) When a double- or triple-steal is attempted and one runner is thrown out before reaching and holding the base such runner is attempting to steal, no other runner shall be credited with a stolen base.

So runner from 3rd will be credited with a Run and the score counts, but not not a stolen base.
Thanks.