from __future__ import division numbers = range(1,180) worth = 10 o_worth = worth ev = 0 # winning as fraction of new reference point def val(x,w): return x/(x+w) def win(number): return 2**number # our worth is only updated once def one_update(n): winnings = win(n) odds = 1/winnings value = val(winnings, worth) * odds return value # we update our worth each time we win a bettuple() def multiple_updates(n): global worth winnings = win(n) odds = 1/winnings value = val(winnings, worth) * odds worth = worth+winnings return value ev = sum([one_update(n) for n in numbers]) print "ev",ev *o_worth, "for", n print ev*o_worth/(1-ev) ev = sum([multiple_updates(n) for n in numbers]) print "ev",ev *o_worth, "for", n print ev*o_worth/(1-ev)
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