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I agree with Robert also, purely mathematically I'd miss the free throw. But playing devil's advocate, there are dead ball scenarios to also be included in the calculation.

I believe that for the FT attempt to be valid, it must hit the rim (please correct me if wrong). There are also misses that hit front rim and bounce over the backboard, and misses that hit side rim and go out of bounds. Any of these scenarios would result in a two-point lead and resulting inbounds play, rather than a three-point lead and inbounding.

Again, I think the overall math still makes missing the right answer. But maybe not so cut-and-dried. Its not easy to 'perfectly' miss a FT.