Orphelins: eight pockets and two wins on 17

Orphelins names the pockets outside conventional voisins and tiers. The set contains 1, 6, 9, 14, 17, 20, 31 and 34. It can be covered with eight straight-up wagers, called en plein, or a five-chip straight-and-split package, called à cheval.

The five-chip package

Number 17 belongs to two splits. The list contains nine coverage entries but only eight unique pockets. Adding split probabilities without handling their shared outcome overstates the hit chance.

Settle each outcome group

At a one-chip unit, total stake is five. Number 1 returns 36 from its straight-up wager. Number 17 wins both splits, returning 18 each. Every other covered pocket wins one split.

The fair single-zero hit chance is 8/37, about 21.62%. Expected profit is (2 × 31 + 6 × 13 − 29 × 5)/37 = −5/37 chips. Against the five-chip stake this gives the ordinary 1/37 house edge.

Compare en plein

One straight-up chip on each orphan pocket stakes eight chips. Every hit returns 36 against those eight, giving 28 net profit. Both versions cover the same eight outcomes and have the same hit probability, but their stakes and winning returns differ.

Use overlapping bets to separate coverage from settlement. The bet builder can inspect either version. Clear the example layout before placing your wagers. Add the eight straight-up wagers individually for en plein. For the five-chip package, place the straight-up wager on 1 and use More bets to add each split. Compare voisins, tiers and the racetrack overview for other packages.