Let's assume I have an option to bet on outcome in 10 soccer matches. Each combination costs $1. I find 20 000 combinations that have probability of happening 1/250 000 and pays 500 000 (hence EV 1). Max one combination can occur. Is it possible to calculate with a bankroll of x dollars, how many of the combinations I should play to gain maximum bankroll growth?
Imaginary bet - maximum expected growth
0
$\begingroup$
probability
-
1What is a combination? With 10 matches, if each one is decisive, there are only $2^{10}=1024$ possible results. True, if you allow ties, $3^{10}=59049$ – 2012-12-11
-
0Let's assume ties. – 2012-12-11