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 11-07-2018, 01:24 PM #1 yapyap stranger   Join Date: Nov 2018 Posts: 2 Book "Small Stakes Hold 'em" mistake? Hi, my name is Peter, I live in Cologne and I am trying to learn Poker, starting with small limit games. I got the book Small Stakes Hold 'em by Miller, Sklansky and Malmuth yesterday and got confused with a formula for calculating the EV at Roulette when you bet 100\$ on a single number where you are paid 1:35 if you win. The formula in the book (page 26): (1/38)(3,500\$)+(37/38)(–100\$)=–\$5,26 As I have to bet 100 \$ to win 3,500 \$, shouldn't the formula say either (1/38)(3,400\$)+(37/38)(–100\$)=–\$7,89 or (1/38)(3,500\$)+(38/38)(–100\$)=–\$7,89 Thanks for your answers! Peter
 11-07-2018, 01:59 PM #2 statmanhal Pooh-Bah   Join Date: Jan 2009 Posts: 4,250 Re: Book "Small Stakes Hold 'em" mistake? EV can be defined as the change in your stack as a result of the betting decision. For your roulette example, if you hit, you get back 35 for each dollar bet plus your bet. So the stack change for a 100 bet is +3500. On a 38 pocket roulette wheel, you win 1/38 of the time, so the expected change is +3500/38. If you don’t hit your roulette number, your stack diminishes by the bet size, 100, so the expected loss is (37/38)*100. Adding the expected gain and expected loss is the same as the book’s equation
 11-07-2018, 02:59 PM #3 yapyap stranger   Join Date: Nov 2018 Posts: 2 Re: Book "Small Stakes Hold 'em" mistake? Hi Statmanhal, thanks for your quick and helpful answer. I didn't know that I get my bet back if I win, that's what I got wrong. So you can consider it as a pot where you put 100\$ and the casino puts 3500\$, and if you win you take the pot. Makes sense. Peter

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