<h3>I'm a poor student but recently I went to the casino with a good friend. We both brought 20$,- to be sure that we wouldn't leave the casino with empty bank accounts. We did expect to lose money, but thanks to our great strategy we managed to leave the casino with over 150$,-. To my opinion, it would definitely be a shame to visit a casino spending all your time behind a slot machine or video poker.  You should get involved in the table games everyone keeps talking about. The luck factor of American Roulette is definitely a 100%, but that doesn’t mean we can’t use that luck in our own advantage, right?</h3>
<p><img src="https://scontent-amt2-1.xx.fbcdn.net/v/t1.0-9/13920617_1226741384036621_840207117367473363_n.jpg?oh=ae2b0e367f290bf9bb4538fb6ba9157f&amp;oe=585EC5D9" /></p>
<h1><strong>Strategy</strong></h1>
<p>Alright fishies, American Roulette! With plenty of options and no limit to the amount of different bets you can make, you can easily contol the risk versus reward ratio of the game. And that's exactly the trick, folks! The red or black wages are as simple as it gets. Each of the numbers between 1 and 36 on the roulette wheel are colored either red or black (18 black, 18 red). The 37th number has no value and more or less guarantees that the casino, statistically seen, will make profit.</p>
<p><img src="https://scontent-amt2-1.xx.fbcdn.net/v/t1.0-9/13887018_1226839997360093_4893043912855617630_n.jpg?oh=d24c2a3d261f55cf2605bb1bc6430378&amp;oe=5857BF5E" /></p>
<p><strong>Bet: </strong>Red/Black <strong>Winning chance: </strong>P(win) = 18/37 x 100% = 48,64% <strong>Payoff:</strong> 2 x money bet</p>
<p>The strategy is quite simple, let’s assume you bring in 75 dollars. The idea is that you keep doubling your bet until you win. </p>
<h2>Step 1</h2>
<p>Start with a money bet of 5$ given the cash stock of 75$. You should bet on black or red.</p>
<h2>Step 2</h2>
<p>If you win at step 1 (chance=48,64%): your new cash stock is 80$. Congratulations, you're on your way to become a dolphin, start again at step 1.</p>
<p>If you lose at step 1 (chance=51,36%): your new cash stock is 70$, double your first bet, so now: $10.</p>
<h2>Step 3</h2>
<p>If you win at step 2 (chance=48,64%): your new cash stock is 80$. Congratulations, you're on your way to become a dolphin, start again at step 1.</p>
<p>If you lose at step 2 (chance=51,36%): your new cash stock is 60$, double your first bet, so now: $20.</p>
<h2>Step 4</h2>
<p>If you win at step 3 (chance=48,64%): your new cash stock is 80$. Congratulations, you're on your way to become a dolphin, start again at step 1</p>
<p>If you lose at step 3 (chance=51,36%): your new cash stock is 40$, double your first bet, so now: $40.</p>
<h2>Step 5: Go on until you do win</h2>
<h1><strong>Some mathematics...</strong></h1>
<p><strong>P =</strong> probability</p>
<p>If you start at step 1 with a cash stock of 75 dollars, your chance of eventually losing your whole cash stock equals:</p>
<p><strong>P (losing 4 games in a row) = </strong>P (losing at step 1) * P(losing at step 2) * P(losing at step 3) * P(losing at step 4) = 0,5136 x 0,5136 x 0,5136 x 0,5136 = 6,9%</p>
<p>But with higher cash stocks you'll be even more sure of a profit. If you check the mathematics below, you'll see that the chance of not winning within 8 bets is amazingly small.</p>
<p><strong>P (win at bet 1) </strong>= 0,4864 = 48,64% (you win after 1 game)<br />
<strong>P (win at bet 2) </strong>= 0,2498 = 24,98% (probability of losing one game and then winning one)<br />
<strong>P (win at bet 3) </strong>= 0,1284 = 12,84% (probability of losing two games and then winning one)<br />
<strong>P (win at bet 4) </strong>= 0,0660 = 6,6% (probability of losing three games and then winning one)<br />
<strong>P (win at bet 5) = </strong>0,0340 = 3,4% (probability of losing four games and then winning one)<strong><br />
P (win at bet 6) = </strong>0,0170 = 1,7% (probability of losing five games and then winning one)<strong><br />
P (win at bet 7) </strong>= 0,0089 = 0,09% (probability of losing six games and then winning one)<strong><br />
P (win at bet 8) </strong>= 0,0046 = 0,046% (probability of losing seven games and then winning one)<br />
<br />
So: <strong>P (win within 8 bets) = (sum of values above) = 98,296%</strong><br />
<br />
But we should be aware of what might happen if you repeat this strategy many times. Statistically seen, it might end up bad as the chance that you will for example lose eight times in a row gets higher and higher after you keep repeating the strategy. In the end such an unlikely situation will occur. The expected probability to win 3 times in a row (within 8 bets)= <strong>P (win 3 times in a row within 8 bets)</strong> =<strong>P (win within 8 bets) x P (win within 8 bets) x P (win within 8 bets) =</strong> 0,98296 x 0,98296 x 0,98296 x 100%= 95%.</p>
<h1><strong>Conclusion</strong></h1>
<p>We should take into account that a casino is programmed to generate overall profit. This strategy definitely works for the people that go to the casino for some fun nights wanting to be 'sure' to have a profit. It's unlikely that you will become very rich because unlucky situations will be more likely to occur if you use this strategy for many many times. Practically seen, this strategy reverses a lottery situation. Instead of having an high chance of losing a little money and a small chance of winning a lot of money, you now have an high chance of winning a little money, and a tiny chance of losing your money stock. Happy winning!</p>
<p>#money #mathematics #steemit #casino #life </p>