- #1
antonio glez
- 37
- 0
folklore knows if you are in a winning streak you have to keep betting while if you are losing is better to retire
ill prove this is mathematically true and logic:
lets analize the odds of following this startegy in a single game
my startegy is bet in pairs, on draw(one win one lose) i keep gambling, on losing i retire (one lose one lose), i only keep gambling on win(one win one win) or on draw
in this universe the first two posible outcomes are:
00=win or 11=lose
01 or 10 doesn't exist in this universe cause if this was the case i would keep gambling, i bet 0.5 euro in ech game
so the first two posible games that exist in the universe of this staregy are:
win or lose 00 or 11 for this two there's a chance of 1/4 each profit=0
the next posible outcomes in this universe are:
ww or wl with a chance 1/16 profit 1 euro
then www or wwl chance 1/64 profit 2 euro
then wwww or wwwl chance 1/256 profit 3 euro
then wwwww or wwwwl chance 1/1024 profit 4 euro
...
these are the only posible outcomes of a single game with this strategy the rest just don't exist
so now its just a matter of adding the odds:
1/16+ 2/64 +3/256 +4/ 1024 ...=0.109375
so following the staregy of keeping in a lucky strike and retiring on a bad one gives you a 10% edge
popular folklore is right on this one
ill prove this is mathematically true and logic:
lets analize the odds of following this startegy in a single game
my startegy is bet in pairs, on draw(one win one lose) i keep gambling, on losing i retire (one lose one lose), i only keep gambling on win(one win one win) or on draw
in this universe the first two posible outcomes are:
00=win or 11=lose
01 or 10 doesn't exist in this universe cause if this was the case i would keep gambling, i bet 0.5 euro in ech game
so the first two posible games that exist in the universe of this staregy are:
win or lose 00 or 11 for this two there's a chance of 1/4 each profit=0
the next posible outcomes in this universe are:
ww or wl with a chance 1/16 profit 1 euro
then www or wwl chance 1/64 profit 2 euro
then wwww or wwwl chance 1/256 profit 3 euro
then wwwww or wwwwl chance 1/1024 profit 4 euro
...
these are the only posible outcomes of a single game with this strategy the rest just don't exist
so now its just a matter of adding the odds:
1/16+ 2/64 +3/256 +4/ 1024 ...=0.109375
so following the staregy of keeping in a lucky strike and retiring on a bad one gives you a 10% edge
popular folklore is right on this one