A Rebuy ? for Math Majors

[DWarrior]

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EDIT: I think ROI is a pretty useless statistic when calculating profitability, it's all about EV and SD.

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ROI IS EV. you just have to make sure the units are the same. ROI uses buuyins as the unit (100% = +1 buyin) and EV is typically $ as the unit. Obviously they're not the same when they have different units, so saying that a $10k buyin has a bigger EV beccause you win more money, Meh, it's borderlin true.

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ROI and EV are not the same, they're about as different as division and subtraction.

ROI = result/input, EV = result-input

A winning player in a $10,000 tournament will generally have a lower ROI than he would in a $1 tournament because of the vast skill difference of the opponents, but the EV of the $10,000 will be much higher than the EV of a $1.

Same in a cash game, your ROI will decrease, but your EV will increase. Doubling the stakes will not double your hourly rate, but it will increase it enough to be profitable.