Mathematical model [ edit ]

With 1 green number, n = 1 {\displaystyle n=1} , the average return is 36 37 🛡 {\displaystyle {\frac {36}{37}}} , that is, after a bet the player will on average have 36 37 {\displaystyle {\frac {36}{37}}} 🛡 of their original bet returned to them. With 2 green numbers, n = 2 {\displaystyle n=2} , the average return 🛡 is 36 38 {\displaystyle {\frac {36}{38}}} . With 3 green numbers, n = 3 {\displaystyle n=3} , the average return 🛡 is 36 39 {\displaystyle {\frac {36}{39}}} .

Reverse Martingale system [ edit ]

This system is one that is designed so that 🛡 when the player has won over a third of their bets (less than the expected 18/38), they will win. Whereas 🛡 the martingale will cause ruin in the event of a long sequence of successive losses, the Labouchère system will cause 🛡 bet size to grow quickly even where a losing sequence is broken by wins. This occurs because as the player 🛡 loses, the average bet size in the line increases.

Many betting systems are sold online and purport to enable the player 🛡 to 'beat' the odds. One such system was advertised by Jason Gillon of Rotherham, UK, who claimed one could 'earn 🛡 £200 daily' by following his betting system, described as a 'loophole'. As the system was advertised in the UK press, 🛡 it was subject to Advertising Standards Authority regulation, and following a complaint, it was ruled by the ASA that Mr. 🛡 Gillon had failed to support his claims, and that he had failed to show that there was any loophole.