How the Marathon Lottery Calculator Works
The Marathon Lottery Probability Calculator helps runners understand their realistic chances of gaining entry to lottery-based marathons around the world. Many of the most prestigious marathons — including Tokyo, London, New York City, and Berlin — receive far more applications than they have available spots, requiring a random or weighted lottery to allocate entries.
This calculator uses real lottery data from each major marathon to compute three key metrics: your probability of selection in any single year, your cumulative probability of being selected at least once over multiple years of entering, and the expected number of years you would need to enter before being selected on average.
For marathons with weighted lotteries (such as Tokyo), the calculator adjusts your probability based on the number of previous rejections, reflecting the slight bonus that repeat applicants receive. For standard random lotteries, each year is treated as an independent event with equal odds regardless of history.
The cross-marathon comparison feature lets you see how your odds stack up across all major lottery marathons simultaneously, helping you make informed decisions about which races to enter and whether to pursue alternative guaranteed entry paths like charity fundraising, qualifying times, or tour operator packages.
The Mathematics Behind Lottery Probability
Marathon lottery probability calculations are based on well-established principles from combinatorics and probability theory.
Single-Year Probability
The base probability of selection in any given year is simply the ratio of available lottery spots to total applicants:
P(selected) = available spots / total applicants
For the Tokyo general lottery: ~30,000 / ~300,000 = 0.10 or 10%. The headline 330K/38.5K figure includes elite, charity, and ONE TOKYO先行抽選 paths — for an apples-to-apples lottery comparison we use the general-lottery sub-pool only.
Cumulative Multi-Year Probability
When entering the same lottery over multiple years, we calculate the probability of being selected at least once using the complement rule:
P(at least once in n years) = 1 - (1 - p)n
This works because the probability of NOT being selected in any single year is (1 - p), and for n independent draws, the probability of never being selected is (1 - p)n. The complement gives us the probability of at least one success.
Weighted Lottery Adjustment
For weighted lotteries like Tokyo's, each prior rejection adds a small bonus to the base probability:
P(adjusted) = P(base) + (bonus per rejection x number of rejections)
This is cumulative across years, so a runner entering for the 5th consecutive time after 4 rejections has slightly better odds than a first-time applicant. The exact bonus varies by race and is not always publicly disclosed — our model uses conservative estimates based on publicly reported data.
Expected Wait Time
The expected number of attempts until first success follows a geometric distribution with mean:
E(years) = 1 / p
For Tokyo's ~10% probability, the expected wait is 1 / 0.10 = 10 years. It is important to understand that this is an average — the distribution is right-skewed, meaning while many runners get in within a few years, some will wait considerably longer than the average.
Strategies for Marathon Lottery Success
While lottery outcomes are ultimately random, there are evidence-based strategies to maximize your overall chances of running a major marathon.
Enter Multiple Lotteries
The most mathematically effective strategy is to enter several marathon lotteries in the same year. If you apply to Tokyo (~10%), London (~1.5%), NYC (~2%), Chicago (~35%), and Berlin (~30%) in the same year, the probability of getting into at least one is: 1 − (0.90 × 0.985 × 0.98 × 0.65 × 0.70) ≈ 60%. This dramatically outperforms entering a single lottery, where Tokyo / London / NYC single-year odds now sit in the 1-10% range after recent applicant surges.
Explore Guaranteed Entry Paths
Every World Marathon Major offers non-lottery entry routes:
- Qualifying times (GFA/BQ): Train to meet the time standard for your age group. Boston Marathon is entirely time-qualified, and London offers Championship Entry for qualifiers.
- Charity entry: Fundraise $2,500-$5,000 for an official charity partner. This guarantees your spot and supports a good cause.
- Tour operator packages: Official travel partners receive allocated entries. These cost more but include guaranteed entry plus accommodation and logistics support.
- Running club allocation: Join a club affiliated with the race organization — many clubs receive a small number of guaranteed entries distributed to active members.
NYC's 9+1 Program
The New York City Marathon offers a unique guaranteed entry program: complete 9 qualifying NYRR races plus 1 volunteer shift in the qualifying year, and you earn guaranteed entry the following year. This is the most reliable non-lottery path to the NYC Marathon and does not require a qualifying time or fundraising.
Persistence in Weighted Lotteries
For races with weighted systems like Tokyo, entering every year provides a compounding advantage. Each rejection incrementally improves your odds. Combined with the cumulative probability effect, persistent applicants significantly outperform one-time entrants over a 5-10 year horizon.
Registration Timing
For first-come, first-served races, preparation is everything. Set calendar reminders for registration opening day, have your account and payment information ready in advance, and be online at the exact opening time. Popular races sell out within hours or even minutes.
Major Marathon Lottery Dates & Timelines
Planning which lotteries to enter is often a scheduling problem as much as a probability problem. Windows are short, results come months apart, and missing a deadline costs you a full year. The table below reflects the typical annual pattern — confirm exact dates on each race's official site before applying.
Typical Lottery Calendar
- London Marathon (April race): ballot opens within days of race day (late April), closes in early May, results by early July. Deferral decisions from the previous year also count here.
- Tokyo Marathon (late February / early March race): general lottery typically opens in August, closes late August, results in late September. ONE TOKYO premium members get early-entry windows.
- Berlin Marathon (late September race): lottery opens in late September and closes in early November the year before the race, results by early December.
- NYC Marathon (early November race): drawing opens mid-January, closes mid-February, results in early March.
- Chicago Marathon (early October race): application window runs late October through mid-November the year prior, results early-to-mid December.
How to Avoid Missing Windows
Because the five Major lotteries stretch across the calendar, the simplest trap is forgetting one. A practical workflow: (1) pick a single shared reminder system — a recurring calendar event titled "check marathon lotteries" on the 1st of each month is often enough; (2) keep a one-line note of which race you've applied to in which year; (3) allow 48 hours of buffer around every deadline, because site traffic on closing day is notoriously heavy. Use our Marathon Countdown tool to track the race dates themselves once you're in.
What to Do While You Wait
Results announcements come weeks or months after the lottery closes. In that gap, keep training generically rather than tapering — you may need to be race-ready within 4–5 months of a draw. If you're not selected, the rejection email typically arrives as a large batch; refresh the official results page or check the race's social channels, where announcements often go up before individual emails land.
After the Tokyo Marathon Ballot: 6 Alternative Entry Routes
Missing the general lottery is not the end of the road — there are several official ways into the Tokyo Marathon. Here are six routes sorted by condition, cost, and certainty (amounts and quotas are 2026-edition figures unless noted; 2027 details publish as each window opens).
1. Charity (most certain, no time needed)
Applying to donate secures a bib without the lottery — the most certain route. The official floor is 100,000 yen, but many recipient organizations require 150,000 yen or more (the Tokyo Marathon Sports Legacy Program states 150,000 yen or more), and popular causes effectively run around 160,000 yen. Because each charity selects independently, a larger donation genuinely helps for some slots. The window is June 24 to July 9, 2026 — see the official charity page.
2. ONE TOKYO Premium priority ballot (a cheap way to add draws)
A 5,500-yen annual membership lets you enter a priority ballot before the general lottery, then roll into the general draw automatically if unselected — so your overall chance rises. It does not raise your per-draw odds and is not a guarantee. The priority window is July 31 to August 13, 2026; join at ONE TOKYO.
3. Consecutive-loss challenge (free, for three-time losers)
A priority draw for runners who lost as ONE TOKYO members in three consecutive editions. For 2027 that means losers of 2024, 2025 and 2026 (the window rolls forward one year each edition). Roughly 3,900 slots (2026 figure, subject to change). Applied within the general-entry window (August 14 to 28, 2026) at no extra cost.
4. Semi-elite / RUN as ONE (qualifying time)
Meet a qualifying time on an officially sanctioned record and you skip the lottery. The 2026 standards were sub-2:28:00 (men) and sub-3:06:00 (women) for the full marathon (2027 times publish when semi-elite entry opens on July 31, 2026). App or self-timed runs do not count — you need a JAAF-sanctioned record. With only about 200 slots, this assumes near-elite fitness. See the RUN as ONE page.
5. Official tour packages (for overseas runners; certain but pricey)
Official travel partners sell hotel packages with a guaranteed bib, mainly for international runners, and typically cost more than the ballot or charity. For overseas runners who cannot navigate the Japanese registration, this is a realistic guaranteed route.
6. Tokyo-resident lottery (residents only — but harder than the general draw)
Counterintuitively a narrow gate: only about 1,000 slots and an estimated 32x oversubscription (unofficial), making it tougher than the general lottery (around 10x). Being a Tokyo resident is no guarantee, so pair it with the general draw. Applied within the general-entry window.
Note: charity, priority, semi-elite, resident and invited slots each draw from separate quotas. Estimating the general-lottery odds off the headline 330K-applicants / 38.5K-field total is over-optimistic — the general lottery alone is about 300,000 applicants for about 30,000 spots, an acceptance rate near 10%. If none of these fit, easier-to-enter Japanese marathons such as Nagano, Itabashi City, or Beppu-Oita are strong fallbacks.
Sources & References
- (2025). Tokyo Marathon Official Entry Information. tokyo42195.org.
- (2025). London Marathon Ballot Statistics. tcslondonmarathon.com.
- (2025). TCS New York City Marathon Entry Methods. nyrr.org.
- (2025). BMW Berlin Marathon Registration Overview. berlin-marathon.com.
- (2012). Probability and Statistics for Engineers and Scientists. Pearson.