Mine a Planet Luck and Drone Roll Odds

Convert one-in-N into a per-roll chance

A one-in-1,000 label corresponds to 1/1,000, or 0.1%, for one modeled attempt. A one-in-1,000,000 label is 0.0001%. The official Mine a Planet description uses an extreme one-in-25-trillion example, but it does not tie that number to a named drone or publish the rest of the pool. Entering that preset in the calculator explores the math only; it does not certify a real item or drop rate.

One in N is an average probability statement, not a countdown that guarantees success by roll N.

Calculate repeated independent rolls

The easiest exact route is to calculate the chance of missing every roll and subtract it from one. If p is the per-roll chance and r is the number of rolls, the miss chance is (1 − p)^r and the chance of at least one success is 1 − (1 − p)^r. The site's calculator uses numerically stable log1p and expm1 functions so very small probabilities do not collapse to zero during computation.

Treat Luck as a scenario, not a fact

The calculator's Luck control multiplies the assumed per-roll probability and caps it at 100%. That is a transparent what-if model. The game may use a different operation, affect only part of a pool, apply diminishing returns, or display a stat that is not a direct multiplier. Without creator documentation or repeatable measurements, none of those possibilities can be selected as the real formula.

Any result above 1× Luck is labelled as an unverified game assumption.

Interpret expected rolls and targets

The expected rolls per success is 1/p, but an individual result can happen much earlier or much later. A 50%, 90%, or 99% target tells you how many independent modeled attempts reach that cumulative probability; it still does not promise an outcome. Expected hits can be below one even when the chance of at least one is meaningful, and no mathematical average can provide a time estimate without a verified roll speed and game behavior.