Stretching a 2B to a 3B has exactly the same strategic function as stealing third (maybe with trivial variables such as the count on the next batter). However, stretching the hit has the added advantage of the ball already in play in front of the runner when he makes his commitment, so he can stretch or abort after observing play action. Not the case with a steal of third, where the commitment cannot be undone once the break is made, although success or failure depends on pitch type, location and release, and catcher's handling of the ball.
So, if the stretch has the same end result scoring probability as the steal, one would assume that the stretch would occur in the same game situation as the steal of third. Namely, NEVER with 0-out or 2-out. Especially since the runner has a better chance of gauging his success probability when he makes his no-turning-back commitment if he is stretching.
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