Michael and Betty play a game...

Michael and Betty play a game with a fair $n$ -sided die whose faces are numbered as $1,2,3,...,n$ . In this game, Michael is assigned a value $m$ and Betty is assigned a value $b$ , both also in the range. Michael and Betty take turns rolling the die; Michael goes first.

If Michael rolls a number less than or equal to $m$ , the game ends and he wins. If Betty rolls a number less than or equal to $b$ , the game ends and she wins. The game continues until one player wins.

Suppose $m=b$ , who has an advantage?