Probability of going broke

[MHoydilla]

I would like to know the chances of going broke if taking bets on an even money proposition but charging 10% juice of each wager lost if I had 1,000,000.
If the average bet placed againest me was 1000 meaning if I lost the bet I lose 1000 and if I win the bet I win 1100 what is the chance that I could lose my initail 1,000,000. (Please show how you did this)
What if the average bet was 5000 so -5000 or +5500.
What if was 10000.
All outcomes of bets would be 50/50.