H-1B Multi-Employer Lottery Odds Calculator

Introduction: How multiple H-1B registrations affect your odds

Multiple H-1B registrations matter because each legitimate employer adds one more ticket to the same beneficiary's selection pool. If one company files and later another separately files for you, your chance of being chosen changes in a measurable way rather than in a vague "better or worse" way.

This calculator models the cap system as it is actually used for H-1B registrations: the advanced-degree lottery runs first for master's-cap eligible beneficiaries, and any remaining entries then flow into the regular cap. That sequence is why the tool distinguishes between advanced-degree and regular chances instead of collapsing everything into one average probability. It gives attorneys, students, and employers a way to compare a single sponsorship against a small cluster of genuine offers.

Formulas behind H-1B multi-entry odds

Each H-1B lottery stage draws a fixed number of winners without replacement, so the key question is the chance that all of your registrations miss the cut. If you hold k tickets in a pool of N total registrations and the agency selects m winners, the no-selection probability is the hypergeometric ratio shown below.

. Because the H-1B process uses two lotteries, a master's-cap candidate must miss both draws to end up unselected. The overall failure probability is therefore the first-draw miss probability multiplied by the second-draw miss probability after the pool shrinks.

The JavaScript uses a Lanczos-style log-gamma approximation so the H-1B calculation stays stable even when the registration counts climb into the hundreds of thousands. After the code computes the probability of zero selections, it subtracts that value from one to get the success rate. If you enter more than one year, the script raises the seasonal failure probability to that power to show the chance of still waiting after several H-1B cycles.

Working through the H-1B advanced and regular lotteries

A two-stage H-1B run is easier to understand when you follow the registrations through each pool. Suppose there are 400,000 advanced-degree registrations from other candidates, 350,000 general-only registrations, and you can secure two separate employers willing to file on your behalf. The calculator first measures how often both of your master's-cap tickets miss the advanced draw. Any tickets that survive that stage are no longer competing there; they are folded into the regular-cap pool, where the calculator repeats the same without-replacement logic against the larger general draw.

For candidates without master's-cap eligibility, the H-1B path is simpler because the tool skips the advanced lottery and evaluates only the regular cap. Even in that simpler case, the number of employer registrations still matters, but the gain from each extra filing shrinks as the pool of available seats gets tighter. That tapering effect is often what people want to see before they decide whether one extra sponsor is worth the effort.

Worked example: a master's graduate with two sponsoring employers

Imagine Priya, a master's graduate who has two different consulting firms willing to file H-1B registrations for her. She wants to know whether those two filings are meaningfully better than one. When you plug in the sample market counts, the calculator shows that the second registration improves her odds more than leaving the process to a single sponsor, but it does not double her chance because the two tickets are competing in the same lotteries.

The reason the example is useful is the shape of the results rather than any one exact percentage. The advanced lottery can help a master's-cap beneficiary, yet the regular cap still captures the registrations that miss the first draw. That means a second employer can materially improve the outlook, while a third employer usually adds a smaller increment than the jump from one sponsor to two. If you are mapping life decisions around H-1B timing, that diminishing return is the part worth paying attention to.

Comparison table: H-1B odds as employer registrations increase

This table shows how the H-1B selection profile changes when only the number of employer registrations changes and the market assumptions stay fixed. It is not a promise of any one season's outcome; it is a way to compare one sponsor, two sponsors, or several sponsors under the same cap settings. The rows update dynamically so you can see the pattern rather than just the final answer.

Read the first column as the count of registrations tied to your name. The next two columns separate the advanced-degree and regular lotteries, which is important because the first draw can partially resolve the case before the regular cap ever comes into play. The last column shows the combined win rate, while the final column shows what remains unselected. In other words, the table is designed to show diminishing returns: early extra sponsors often help more than later ones.

Strategic H-1B planning and compliance

The H-1B multi-entry calculator is most useful when it is paired with a compliance check. Each registration should correspond to a real job opportunity, a real employer, and a real intent to proceed if selected. The value of the calculation is that it makes the upside of legitimate additional filings visible without pretending that shell arrangements are a safe shortcut.

It also helps employers set expectations with candidates. A strong résumé does not change the random nature of the cap lottery, and even a carefully planned set of registrations can still miss. At the policy level, the numbers can illustrate why changes to cap sizes or to the order of the lotteries would shift behavior: better odds in the first draw would reduce the need for candidates to chase multiple sponsorships, while tighter odds push them to look for more legitimate opportunities.

Limitations and assumptions for H-1B lottery estimates

This calculator models the H-1B registration system as a planning tool, not as a filing guarantee. It assumes a random draw without favoritism, one registration per legitimate employer, and the familiar two-stage advanced-degree and regular cap structure. It does not predict later petition outcomes, Requests for Evidence, visa stamping issues, or any other step that happens after a registration is selected.

The model also treats the size of the competing registration pools and the cap numbers as inputs you already know. In real life, those totals are only known with certainty after the registration window closes and the agency publishes the counts. For that reason, the output is best read as a scenario estimate: useful for comparing options, not for treating any specific percentage as a promise. If the rules or the lottery sequence change, the calculator should be rechecked against the latest official guidance.

How to use this H-1B multi-entry odds calculator

1. Enter Advanced-degree registrations from other applicants using the number that matches the current H-1B market assumption you want to test.
2. Enter General pool registrations from other applicants for the regular-cap side of the model.
3. Enter Advanced-degree cap slots and, if needed, the Regular cap slots that define the size of each draw.
4. Run one H-1B scenario, then change the number of employers or years and compare the results before deciding how to plan.