There're four dice with varying numbers on each face:
Die A. has 1 1 1 1 7 7
Die B. has 4 4 4 4 4 4
Die C. has 2 6 2 6 2 2
Die D. has 3 5 3 5 3 5
You and three friends play a game where you each roll one of the dice and the highest number wins. You get first pick from the dice.
Question: Which die should you choose in order to maximize your chance of winning?