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.
Chance of producing a djinni
| Djinn already created: | 0 | 1 | 2 | 3 | 4 | 5 | n |
|---|---|---|---|---|---|---|---|
| Chance of producing a djinni: | 1/13 | 1/15 | 1/17 | 1/19 | 1/21 | 1/23 | 1/(13 + 2n) |
| Overall chance of wish (blessed potion): | 6.15% | 5.33% | 4.71% | 4.21% | 3.81% | 3.48% | 4/5 * 1/(13 + 2n) |
