Binomial Distribution with n=160 p=.125
The chance of him winning exactly 80 trials is miniscule (my calculator gives a result on the order of 10^(-30)
The chance of him winning 80 or more trials is slightly greater but still miniscule (my caluclator gives an answer of 0).
http://en.wikipedia.org/wiki/Binomial_distribution
has the general formula (it's hard to type out but fairly simple to understand) and lots of other info.