To be (dead) or not to be (dead) that is the question.

[HokiePaul]

Without a lengthy discussion, how do you know for sure that the foul occurred "right after" as opposed to "right before" the basket was made?

I'm probably trusting my partner and assuming that the foul occurred before the ball went through, even if the whistle was delayed slightly. If there is significant doubt, I guess I might run over real quick and say something like "ball went in; just wanted to make sure that you had the foul before the ball went through the basket", but if he goes to report the foul, I'm not arguing that it occurred after the ball went through (since I was not the calling official).