One more simple game for your weekend

You have been invited to play a dice game with Pierre and Blaise. The game is played with three dice marked as follows:

Dice A {2,2,4,4,9,9}
Dice B {1,1,6,6,8,8}
Dice C {3,3,5,5,7,7}

The game has three rounds. First you roll against Pierre, then you roll against Blaise, then Pierre and Blaise roll against each other. The winner of each round is the one who rolls the higher number. The overall winner is the player who wins the most rounds.

Which die should you choose?

[Here's the relevant link (try not to look at the status bar -- the address gives away too much). It's a fun, trivial oddity but it raises some interesting questions about how numbers we trust can do unexpected things. More on that later.]