ROR problem for stat weenies

Player X, is a good player, without any patience.

Use the following assumptions to determine the probability player X will go broke, vs. attaining a safe (300BB) bankroll.

Assumptions :
-Player X wins at a rate 1.05 BB per hour with a standard deviation of 13.11 BB/Hr.
-Player X's bankroll is 50 Big Bets.

Bonus ? : Using the same BB per Hour and Stdev, what size Bankroll would Player X need to have, in order to go broke less than 10% of the time?