I understand what people are saying about each captain wanting to make sure they get a point from their best player, but I think it's more complicated than that.
A lot will depend upon the scores going into the singles of course, but let's assume that, like most of the recent contests, Europe are a couple of points ahead - 9 - 7.
Now to regain the cup, the US would need 7.5 out of the 12 points available. A tough task.
Wouldn't it make sense to actually TRY and fit Woods into whatever slot you think Rory will be put in?
It's a gamble for sure, but the point is that Tiger winning 7&6 against, say, Kaymer still only scores you one point against a player that you would expect most of your team to beat.
Tiger beating Rory 1up, however, also gets you that same one point AND you still have someone else out there earning another point against Kaymer.
P.S. Not wanting to be too mean about Kaymer. He may well come good, but at the moment he is probably Europe's weakest player.