- #1

lalekl

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Imagine a gambler playing a casino game with fixed bet, fixed odds, no skill, and a starting bankroll, ##M_0##. She plays until she can no longer afford to bet and records only how many bets she was able to make, ##N_0##, until she could not afford to bet. Each day she goes back to the casino with a larger bankroll, ##M_i##, plays the same game until she could no longer afford to bet, and records how many bets she made, ##N_i##. Can she determine the true EV of the game using only this information ( her sequences of bankrolls, ##\{M_i\}##, and ##\{N_i\}##, how many bets she was able to make on day ##i## before she could no longer afford to bet that day)?

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