Ok so here’s the rules

• I just bet on red every time
• I start with 1 dollar
• every time I lose, I triple my previous bet
• every time I win I restart

I’m going to simulate 10 games

• Game 1 - Bet $1 Lose
• Game 2 - Bet $3 Lose
• Game 3 - Bet $9 Win $18
• Game 4 - Bet $1 Lose
• Game 5 - Bet $3 Lose
• Game 6 - Bet $9 Win $18
• Game 7 - Bet $1 Lose
• Game 8 - Bet $3 Lose
• Game 9 - Bet $9 Lose
• Game 10 - Bet $18 Win $36

In this simulation I’m losing at a rate of 70%. In reality the lose rate is closer to 52%. I put in $54 but I’m walking away with $72, basically leaving the building with $18.

Another example. Let’s pretend I walk in with $100,000 to bet with. I lose my first 10 games and win the 11th.

• 1 lose
• 3 lose
• 9 lose
• 27 lose
• 81 lose
• 243 lose
• 729 lose
• 2187 lose
• 6561 lose
• 19683 lose
• 59049 win $118098

$88573 spent out of pocket, $118098 won

Walk out with roughly $29525.

I get most casinos won’t let you be that high but it’s a pretty extreme example anyway, the likelyhood of losing 10/11 games on 48% odds is really unlikely.

So help me out here, what am I missing?