BR question for "coin flipping" game

AE6 · #1 03-07-2007, 12:04 AM

Say you and I are playing a game where we each put in one unit and then flip a rigged coin that is 55-45 in my favor with the winner taking the pot of both units. What is the bankroll needed for me to play this game at a 2% risk of ruin?

I'm no good at math, so hopefully there are some smart guys in here who can solve this one for me, ty.

pzhon · #2 03-07-2007, 01:04 AM

[ QUOTE ]
Say you and I are playing a game where we each put in one unit and then flip a rigged coin that is 55-45 in my favor with the winner taking the pot of both units. What is the bankroll needed for me to play this game at a 2% risk of ruin?

[/ QUOTE ]
With n units, your risk of ruin is (45/55)^n.
With 19 units, ror = 2.2%.
With 20 units, ror = 1.8%.