... Steve:

>> ... there is also another case when a runner isn't out when touched by a batted ball
>> in FAIR territory, and that's when he's hit by an infield fly, while standing on base.
>> Normally, even the base does not afford safety, but an infield fly is an exception.

You're also correct in your implication that my question wasn't very well worded!

Because Pete's answer ...

>> When the ball was first touched by a fielder.

... is also correct. The "hit by a batted ball" rule by its terms does not apply if a fielder has touched the ball or if the ball has passed an infielder and no other fielder has a fair chance of making a play on it (a judgment call which could still result in the runner being called out, though it is not automatic).

----- jim o\-S