Player 1 has a probability of approximately 32% of winning, whereas Player 2 will win approximately 59% of the time, with the remainder of the time resulting in draws.

These numbers came from the attached solver, which uses a simple Monte Carlo method. As with many previous problems, make sure you've properly installed the Mersenne Twister random number generator in order to run the solution.

Note that in order to increase the accuracy of the solver, you would need to do something clever with memory management, as, beyond about 20,000,000 runs, the heap will be overtaxed if you use the fairly simple scheme presented in the solver.