No because the odds are symmetric for every slot. If you have two in a row; and the third slot has higher odds that it goes to the non-roller, you should just... not roll in it.
The timing of when it gets rolled won't matter. The need to urgently consider blocking off other routes to victory will be embedded in the scoring described above.
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Wouldn't you also have to take into account the probability of the following moves also being successful and giving you a win?
No because the odds are symmetric for every slot. If you have two in a row; and the third slot has higher odds that it goes to the non-roller, you should just... not roll in it.
The timing of when it gets rolled won't matter. The need to urgently consider blocking off other routes to victory will be embedded in the scoring described above.