Scenario :

You are invited to play a number drawing game from 1 to 100 integers only. You are told if the number drawn is below 52 you win 1:1 on any money you wager.

You start with a bankroll of $1,000.

The twist is you can only bet a % of your bankroll and the game is then played 10,000 times using this percentage (i.e. 10% would go $100 if you won the next bet would be $1,100*10%=$110). If you go bust during this time the game stops (If you reach less than $1 you are considered bust).

Ok, would you play in this game? Do you have an edge and if so how much? What % of your BR would you wager?, why? and is there an optimal amount to bet?