help on proving poker is not about luck

[ycjason]

I want to create a graph to show to a friend to prove that poker is not about luck in the long run

for example, if I have the following data over reasonable sample size (does sample size even matter here? but let's say 50k hands at 1/2)
winrate = 5ptbb/100
SD/100 = 45ptbb

I want a graph that shows on Y Axis the % of likelihood that you will be a winner and X Axis the number of hands you played. I would imaging the graph should start around 50% and moving very close to 100% after 100k hands

Also, if possible, a graph that shows medium/average (even better if it's possible to get numbers of 25%, 50%, 75%) $$ won on Y Axis over # of hands played on X Axis.

Can someone good with stats help me generate those graphs or give me some hint on how to get the numbers (formulas, links).

Thanks a lot!