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I'm going to show iopq (and whoever else actually cares) how to do this for future reference.
We're betting $12.45 to win $2.75 when both Villains fold, $13.75 when just the BB calls, $13.45 when just the CO calls, or $24.45 when they both call.
Note: After the rake, we really win $13.10 when just the BB calls, $12.80 when just the CO calls, and $23.25 when they both call.
Let's assume that the BB calling range is {88+, AQ+} no matter what iopq says, so the big blind is calling 4.898% of the time and folds the rest.
Since we're very optimistic people, we'll assume the CO open raises 30% of the time, and only calls with {22+, AJ+}. Then the CO is calling with 8.816% of his possible starting hands, so he calls 29.388% of the time and folds the rest.
So we have a few cases to consider:
Case 1: Everyone folds. There's an 64.387% chance of both players folding with the above calling ranges, and we win $2.75.
Case 2: The BB folds, the CO calls. There's a 26.797% chance for this scenario. Then, 36.376% of the time we win $12.80, and 63.624% of the time we lose $12.45.
Case 3: The BB calls, the CO folds. There's a 6.2252% chance of this scenario. Then, 30.424% of the time we win $13.10, and 69.576% of the time we lose $12.45.
Case 4: The BB calls, the CO calls. There's a 2.591% chance of this scenario. Then 21.379% of the time we win $23.25, and 78.621% of the time we lose $12.45.
Value of Case 1:
0.64387 * 2.75 = $1.7706
Value of Case 2:
0.26797 * ((0.36376 * 12.80) + (0.63624 * -12.45)) = -$0.8749
Value of Case 3:
0.062252 * ((0.30424 * 13.10) + (0.69576 * -12.45)) = -$0.2911
Value of Case 4:
0.02591 * ((0.21379 * 23.25) + (0.78621 * -12.45)) = -$0.1248
Total Value: $1.7706 - $0.8749 - $0.2911 - $0.1248 = $0.4798
Now what you do is go calculate a few hundred of these with different stacks and calling ranges and you will have a better feel for these situations, which means you will actually learn something. Though I doubt you're willing to do that, and that this post is wasted, but now at least I can link people here when they want to learn when to 3-bet shove against short stack opens.
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