Smoky and milky potions
A smoky potion is one of the randomly-generated colors of potion; it can be any type. However, it is noteworthy because it has a chance of summoning a djinni upon quaffing.
Quaffing a smoky potion has a 1/(13 + 2*djinn created in the game) of releasing the djinni.[1] This djinni may be peaceful, may be hostile, or may grant you a wish. Blessed smoky potions have a 4/5 chance of granting a wish, uncursed potions have a 1/5 chance, and cursed potions have a 1/20 chance.[2]
Because of this, it is worth blessing and quaffing all smoky potions, even if they are an otherwise useless or harmful type. In some cases, precautions must be taken; for example, if smoky potions are invisibility, you will need a way to deal with the permanent invisibility intrinsic.
Also note: a djinni can be summoned when a monster quaffs a potion. The djinni will disappear 50% of the time; otherwise it will always be peaceful and will not grant wishes.[3]
Chance of producing a djinni
| Djinn already created | 0 | 1 | 2 | 3 | 4 | 5 | n | |
|---|---|---|---|---|---|---|---|---|
| Chance of producing a djinni | 7.69% | 6.67% | 5.88% | 5.26% | 4.76% | 4.35% | 1 × 1/(13 + 2n) | |
| Overall chance of wish | Blessed | 6.15% | 5.33% | 4.71% | 4.21% | 3.81% | 3.48% | 0.8 × 1/(13 + 2n) |
| Uncursed | 1.53% | 1.33% | 1.18% | 1.05% | 0.95% | 0.87% | 0.2 × 1/(13 + 2n) | |
| Cursed | 0.38% | 0.33% | 0.29% | 0.26% | 0.24% | 0.22% | 0.05 × 1/(13 + 2n) | |
Milky potions
Milky potions behave similarly to smoky potions in that they have a chance of containing a ghost. The ghost will always be hostile, and unless you are blind when you quaff the milky potion you will be "terrified, and unable to move" for three turns.
