[PeteBooth]

In Situation Number one if it's a good throw and the ball beat the runner in plenty of time, the only thing you need to make sure of is that the fielder didn't drop the ball or the ball is lying on the ground.

From your description it appears the fielder had possession so you do not need to ask him "show me the ball" - Record the Out. Good fielders will simply come up with the ball on a routine tag where the runner is out by a good margin.

If it's a banger and both players are on the ground or something similar where it is not readily evident that the fielder had control, then ask him to "show you the ball". If the fielder delays, then rule on the side of the offense because the delay tells you that "something is wrong" otherwise the fielder would immediately show you the ball.

Pete Booth