Wizard101 Pet Return Chance Calculator

1. Enter your chance per attempt as a percentage. It is your own estimate, for example from a hatch log.
2. Enter the number of attempts you plan, such as 10 hatches with the same partner.
3. Optionally add a target chance, such as 80 or 90 percent, to see whether your plan reaches it and how many attempts it needs.

Here is what each result means:

A pet return chance is the probability that a series of hatches gives back a result you want at least once, such as a body type or a talent. It turns a per-hatch guess into odds for a whole plan.

Players use it when a single hatch feels like a coin toss. Ravenwood Academy notes that the first couple of hatches often carry unwanted talents, so most goals need several tries. The return chance shows how many.

It is not a game number. Wizard101 does not publish the odds of a body or talent passing to a baby, so this page never states one. It works only from the estimate you enter.

The formula finds the chance that every attempt misses, then subtracts it from 1. What is left is the chance of at least one success.

1. Turn your percentage into a decimal: 25% becomes p = 0.25.
2. Find the chance one attempt misses: 1 - 0.25 = 0.75.
3. Raise it to the number of attempts: 0.75^10 = 0.0563, the chance all 10 miss.
4. Subtract from 1: 1 - 0.0563 = 0.9437, or 94.4%.
5. For a target, solve for n with logarithms and round up to a whole attempt.

This is the cumulative form of the geometric distribution. It assumes each attempt is independent and has the same chance.

Say your hatch log shows 3 wanted results in 12 hatches. Your estimate is 3 / 12 = 25% per hatch, and you plan 10 more hatches.

Calculation: 1 - (1 - 0.25)^10 = 1 - 0.0563 = 94.4%. For 50% you need ceil(ln 0.5 / ln 0.75) = ceil(2.41) = 3 hatches. For 90% you need ceil(8.00) = 9, and for 95% you need ceil(10.41) = 11.

So 10 hatches give strong odds at this estimate, but about 1 run in 18 still misses every time. Expected successes are 10 x 0.25 = 2.5, which means some runs give several and some give none.

Two inputs set the result, and the quality of your estimate matters most.

Your Chance per Attempt

Small changes here move the answer a lot. At 10% per hatch, 90% odds need 22 attempts. At 5% they need 45.

Number of Attempts

Each extra attempt adds less than the one before. Going from 1 to 10 attempts at 25% adds 69 points; going from 10 to 20 adds only 5.

How You Estimate P

A log of 4 hatches can swing from 0% to 50% by luck. More logged attempts give a steadier estimate.

Whether Attempts Are Alike

The formula assumes the same chance every time. Switching partners changes the setup, so treat each partner as a separate estimate. Ravenwood Academy recommends hatching with the same Kiosk pet for this kind of consistency.

These three numbers answer different questions and are easy to mix up.

For a pet goal, "at least one" is the useful number, because one good hatch is enough. That is why the calculator leads with it.

Odds for Common Estimates

These rows are math examples, not game data.

Deciding How Many Hatches to Plan

Set a target such as 90% and read the attempts line. That count feeds straight into your gold budget.

Judging a Long Losing Streak

Check the chance of zero successes. At 10% per hatch, 10 misses in a row happen 34.9% of the time, so a streak alone does not prove your estimate is wrong.

Comparing Two Plans

Run two estimates, for example a partner you trust at 25% and a cheaper one at 10%. The attempts gap shows the real cost of the lower chance. Before you plan, check which pets suit your school in the best Wizard101 pets by school guide.

1. Adding the Chances

Ten tries at 25% do not make 250%. Chances combine through the misses, which is why the result never passes 100%.

2. Believing a Success Is Due

In this model a miss does not raise the next chance. Expecting a win after a streak is the gambler fallacy.

3. Treating a Guess as Game Data

Wizard101 does not publish these odds. A forum figure such as "50/50" is still an estimate, so label it that way.

4. Reading 90% as Certain

At 90% odds, 1 plan in 10 still fails. Keep a buffer of gold and time.

5. Using Too Few Logged Attempts

An estimate from 3 hatches is mostly luck. Log at least 10 before you trust it.

The math is exact for the model, and the answer is only as good as your per-attempt estimate.

Stat goals need a different tool: compare a pet against the maximums with the pet stat calculator.

For the pet facts behind a hatch goal, such as talents per stage, read how Wizard101 pet stats work or check lineage quality with the pet pedigree calculator.

It depends on your chance per hatch. At an estimated 25%, you need 3 hatches for 50% odds, 9 for 90% and 11 for 95%. Enter your own estimate to get your numbers.

The game does not publish that number, so we do not state it as fact. If you believe it is about 50%, enter 50 and the calculator shows that 4 hatches give 93.8% odds.

Enter your own estimate, ideally from a hatch log. Divide your wanted results by your total hatches: 3 wanted results in 12 hatches is 25%.

No, not with a chance below 100% per attempt. The odds rise with every attempt but never quite reach certainty.

Not in this model. Each attempt is treated as independent, so earlier misses do not change the next attempt.

Chances do not add. Ten tries at 10% give 65.1%, because the chance of missing all ten is 0.9^10, or 34.9%.

About 230 attempts for 90% odds and 299 for 95%. Very low chances need very long plans.

Yes. It works for any repeated try with the same chance, such as a drop from a boss, as long as you supply the per-try estimate.

No. It has no game data on inheritance odds. It turns the estimate you enter into odds over many attempts.

No. The math runs in your browser, and anything you Save stays in this browser only.

• Geometric distribution and its cumulative form (Wikipedia).
• Introductory Statistics 4.4: geometric distribution (OpenStax, Rice University).
• Probability of independent events (Math is Fun).
• Wizard101 pet training guide: hatching advice (Ravenwood Academy).