What this calculator answers
Module A answers a narrow probability question: if every attempt has the same independent chance, what is the chance of seeing at least one success after a chosen number of attempts? Module B answers a narrow arithmetic question: what is base speed multiplied by one known speed effect? The two modules do not predict an egg spawn, choose a pet for you, or infer unpublished mechanics. They make the math transparent so you can check a claim and share the exact inputs used.
How the 1-in-N calculation works
A chance of 1 in N means the success probability for one attempt is p = 1/N. The chance of missing once is 1 − p. If attempts are independent and p stays fixed, the chance of missing all n attempts is (1 − p)^n. Subtract that from one to get the chance of at least one success: 1 − (1 − p)^n. The result is a cumulative probability, not a timetable for the next hatch. At zero attempts it is zero; when N is one and at least one attempt occurs it is 100%.
For a worked example, a genuine 1-in-1,000 chance repeated 100 independent times gives about 9.52% chance of at least one success. Repeating it 1,000 times gives about 63.23%, still below certainty. Doubling attempts changes the cumulative chance, but it does not make any single attempt more likely unless the game explicitly changes the odds. Long losing streaks and quick wins are both possible under the same fixed probability.
Use the input only when you have a real per-attempt probability for the exact action you are repeating. A pet index rarity, an egg's luck value and an advertisement screenshot are not interchangeable. The egg catalogue reports luck as a separate field and does not claim that dividing one index number by another yields a hatch chance. If the game has a pity system, changing odds, bonuses, a limited pool or dependent outcomes, this simple model no longer describes the full process.
What “independent” means during play
Independence means the result of one attempt does not change the probability of the next. The calculator does not know whether Ride A Pet currently applies a hidden adjustment, a rebirth bonus, an event boost or a paid product condition to a particular hatch. If any of those changes p, calculate each known phase separately or use the game's own displayed result. Do not combine unlike actions under a single N merely because both produce an egg or pet.
A useful way to read the output is as a planning range. Suppose an action is slow because you must cross a difficult cave, return to your plot and wait for a hatch. The cumulative chance tells you how many independent completed attempts would be involved in a hypothetical fixed-odds model. It does not account for travel time, missed spawns, competition in a server, a broken carry or the cost of tracking gear. Count only attempts that actually qualify for the chance you entered.
How the speed calculation works
Module B multiplies base speed by a single speed multiplier. For example, 19,500 × 2 = 39,000. The arithmetic is exact for those inputs, but the site's reported base stat and a source-reported mutation are not a promise that your live pet card will display that result. Level, weight, upgrades, different effect types and current balance can change what the game shows. Read the pet catalogue for base values and the mutation guide for effects that actually have a supported speed reading.
Do not put a cash, sale-value or hatch-luck multiplier into the speed field. A 3× earning effect and a 3× movement effect happen to share a number only when the evidence supports both. Several reported mutations have a cash figure while their speed value is unknown in the current reference. The calculator cannot fill an unknown speed field by copying the cash column. It also does not decide how multiple effects stack; multiply only a single supported factor or a combined factor that your game explicitly shows.
Reading and sharing the URL
Press Calculate to place the four input values and both calculated outputs in the URL query string. You can bookmark or send that URL to reproduce the same arithmetic on another visit. The browser computes the result locally, without a server or account. Changing an input does not update the shared URL until you press Calculate again. Reset restores the example numbers and removes calculator parameters from the URL.
Because query strings are part of a web address, avoid entering private information. These fields are meant only for numbers. The site uses Google Analytics for page measurement as described in the privacy notice; it does not add a custom event containing calculator values. A copied URL can still reveal the values to anyone you share it with, and your browser may retain it in history.
Using the result well
A clear calculation can expose an unsupported guide claim. If somebody says a rare pet is guaranteed after a set number of hatches, enter the actual documented chance and that attempt count. A cumulative value below 100% shows why the guarantee does not follow from fixed independent odds. If somebody calls a mount “twice as fast,” compare its base speed and the specific speed effect rather than its rarity badge. Then test the route you actually care about: jump, steering and terrain can matter as much as the speed number.
Keep the evidence next to the answer. Note where the one-in-N value came from, the date of the game card or offer, and whether the value is a hatch rate or only an index label. For speed, record the pet, its current base card and the exact mutation field. When a source cannot supply those inputs, the honest result is an unknown, not a confident number from an unrelated egg or pet.