I think I may have grown up having been given completely the wrong end of the stick by my dad? Parents, eh..?

For ages now, I've thought that the ball furthest away plays first UNLESS a competitor's ball is not yet on the green. That is, if Player A's ball is closer to the hole than Player B, but Player A is not yet on the green but Player B is, then Player A plays first.

This is rubbish, isn't it? Player B plays first, even though he is on the green, as he's further away, end off?

In stroke play, though, there's no penalty for playing out of turn? Correct?

Cheers