The D’alembert staking plan, sometimes known as the ‘pyramid system’ was devised by the French mathematician Jean Le Rond D’alembert (born 1717) and subsequently took his name. His theory on the ‘Law of Equilibrium’, supposes a balance of successes and failures over a long series of specific events. The plan requires you to increase your stake by one unit after a loss and decrease your stake by one unit after a win. The intention is to end up at the beginning of the sequence but each time making at least one unit profit.

In an attempt to simplify the process the following example once again assumes level stakes and level odds:

• On the first bet you play £10 win, bet £10 - if you lose, bet £20
• if you win at £20, next bet £10 - if you lose, bet £30
• if you win at £30, next bet £20 – if you lose, bet £40
• if you win at £40, next bet £30 - if you lose, bet £50
• if you win at £50, next bet £40 - if you lose, bet £60
• if you win at £60, next bet £50 - if you lose, bet £70 and so on

A typical sequence could be expressed so:

• bet 1 unit and you lose -1 unit
• bet 2 units and you lose -2 units
• bet 3 units and you win +3 units
• bet 2 units and you win +2 units
• sum Total of Units + 2 units

Note, Potentially, the D'alambert staking plan could require infinite stakes, so limits need to be set.