Dicey Dice 2
There are three fair dice, each numbered 1 through 6; one Blue, one Red, and one Yellow.
You and your opponent will each pick one die and roll. Highest number wins*.
If there is a tie, and the values are EVEN: Blue beats Red, Red beats Yellow, and Yellow beats Blue.
If there is a tie, and the values are ODD; Switch dice with each other and re-roll.
A Red ‘1′ beats a Blue ‘6′, a Blue ‘1′ beats a Yellow ‘6′, and a Yellow ‘1′ beats a Red ‘6′.
Is there an advantageous strategy to picking your initial die?