H1b Lottery Probability Calculator
Calculate your probability of being selected in the H1B visa lottery from application count. Enter values for instant results with step-by-step formulas.
Reviewed for accuracy by Abdullah, Technical Content Specialist
H1b Lottery Probability Calculator
Calculator
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Formula: P(selected) = 1 - (1 - Cap/Total)^registrations
Worked example — 17.7% probability of selection
Formula
P(selected) = 1 - (1 - Cap/Total)^registrations
The probability of at least one selection equals 1 minus the probability of none being selected. For a single registration, the probability is simply Cap/Total. Note: since FY2024, USCIS uses beneficiary-centric selection, so multiple registrations for the same person do not increase odds.
Worked Examples
Example 1: Single Registration
Problem:Calculate selection probability for one registration with 480,000 total registrations and 85,000 cap.
Solution:Selection rate = 85,000 / 480,000 = 17.7% Probability with 1 registration = 17.7%
Result:17.7% probability of selection
Example 2: Historical Comparison (FY2024)
Problem:In FY2024, approximately 759,000 registrations were submitted for 85,000 spots.
Solution:Selection rate = 85,000 / 759,000 = 11.2% This was one of the lowest selection rates in H1B lottery history.
Result:11.2% per registration — extremely competitive year
Frequently Asked Questions
How does the H1B lottery work?
The H1B lottery is conducted when USCIS receives more electronic registrations than the annual cap of 85,000 visas (65,000 regular cap + 20,000 for US master's degree holders). Each fiscal year, employers submit registrations during a designated period (typically March). USCIS then conducts a random selection. Selected registrants can then file their H1B petitions. Since FY2024, USCIS selects by unique beneficiary rather than by registration to prevent multiple registrations from inflating odds.
What happens if I'm not selected in the H1B lottery?
If not selected, alternatives include: (1) Try again the following year. (2) Consider O1 visa for individuals with extraordinary ability. (3) L1 visa if your employer has foreign offices. (4) Pursue a master's degree for the 20,000 advanced degree exemption pool. (5) Apply for employment through cap-exempt employers. (6) Consider EB-based green card directly if eligible. (7) Explore immigration to other countries (Canada Express Entry, etc.).
What is the difference between odds and probability?
Probability is expressed as a number between 0 and 1 (or a percentage), representing the likelihood of an event. Odds compare favorable outcomes to unfavorable ones — odds of 3:1 means 3 wins for every 1 loss, which is a probability of 3/(3+1) = 75%. Casinos often express odds differently from true probability to build in their house edge.
What is the probability of rolling a specific number on a standard die?
A fair six-sided die has 1/6 ≈ 16.67% probability for each face. Rolling at least one specific number in two rolls = 1 − (5/6)² ≈ 30.6%. Rolling two specific numbers on two dice = 1/36 ≈ 2.78%. These calculations multiply individual probabilities for independent events.
What is a fair game in probability theory?
A fair game is one where the expected value for all players is zero — no participant has a mathematical advantage. In practice, most casino games are unfair (negative EV for players) due to the house edge. Flipping a coin for even money is a fair game; flipping for $0.90 per win and $1 per loss is unfair.
What is the birthday problem in probability?
The birthday problem asks: how many people are needed for a 50% chance two share a birthday? The answer is just 23 people — surprising because there are 365 days. The probability no two people share a birthday with n people = (365/365)(364/365)(363/365)...(365−n+1)/365. With 23 people this equals ≈50.7%, meaning a shared birthday is more likely than not.
References
Reviewed for accuracy by Abdullah, Technical Content Specialist · Editorial policy
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