Why a separate "hand probability" lab?
Yu-Gi-Oh's 40-card minimum and the 5-card opening hand make every percentage point matter more than in 60-card formats. Most generic calculators assume MTG-style numbers; ours uses your real deck size.
The Yu-Gi-Oh! community already has plenty of fan sites. These tools cover three things most of them get wrong: probability that respects the 40-card minimum (not 60), a format validator that distinguishes "needs review" from "definitely illegal," and a tribute/synchro/xyz advisor that respects current summoning mechanics.
Yu-Gi-Oh! is hypergeometric, not intuition. Most deck-builders wildly misjudge the chance of opening their 1-of "going-second" handtrap. This lab takes your deck size, the card's copies, and the minimum you want in your opening 5 — and returns exact probabilities for "see it in opening hand" and "see it within first 10 cards".
Whisper-quiet "extras": we also compute how often you'll see exactly 0, exactly 1, exactly 2+ copies, which matters for handtraps and "bricks".
Paste a deck list and the tool counts Main/Extra/Side, flags any card with more than 3 copies, and gives a summary per monster / spell / trap type. We do not maintain a private banlist; the tool simply marks cards that need human review against the official Konami list.
Pick the monster you want to summon; the tool enumerates the tribute combinations from your hand / field: 1 tribute of ≥ level 5 → level 5-6, 2 tributes ≥ level 7 → level 7-8, plus Tuner + non-Tuner combinations for Synchro and 2+ level-4s for Xyz. A fast visual sanity check before you commit.
Three helpers sit on this page, and each one exists to correct a specific habit: trusting intuition about a one-of, trusting a deck list without counting it, and committing to a tribute summon before checking the board. They are small tools with narrow jobs, which means the fastest way to get a useless result is to feed them the wrong shape of data. This usage guide walks through each tool step-by-step, explains exactly what every output line means, and lists the common mistakes that produce a confident but wrong answer. It also sets out the limits of the page, so you know when to stop and check the official rules instead.
① Hand Probability Lab — two inputs, four outputs
② Deck Format Validator — paste format and counters
③ Tribute & Level Helper — how the field is parsed
④ Running all three in the right order
Start with the validator: paste the list with section markers, remove comments, and fix every warning before you read anything else, because the other two tools inherit your deck size. Then run the probability lab on each card that matters, and note the ratio of cards you will actually see against cards you will not. Finally, keep the tribute helper for the game itself: type the monsters on the board with their levels, pick the summon you are considering, and use the answer as a yes or no check before you commit. The whole routine takes a couple of minutes per deck.
The maths is closed-form hypergeometric, not a simulation, so the figures are exact for the deck size and copy count you entered. The first three tiles are the probability of exactly zero, exactly one and exactly two copies in a five-card hand. When you run three copies, the probability of drawing all three is small but not zero, so the third tile understates a true two-or-more figure slightly. With one or two copies in the deck the two-or-more label is exact.
Comment lines are the big one: any non-empty line that does not start with an exclamation marker is treated as a card name, so a deck saved from a forum post with headers and notes will report a main deck that is far larger than it is. A name without a leading number counts as a single copy, so a pasted list with mixed formats understates some cards. Finally, remember that copy limits are counted across the whole list, which is correct for how the game works, so a card played three times in the main deck and once in the side will be flagged as an over-count.
They are analysis aids, not a rules engine and not a legal deck checker. The validator does not read the current forbidden and limited list, does not enforce a maximum main deck size, and does not check spell and trap counts, so card legality, format legality and the tournament policy must be confirmed with the official Konami sources, whose lists and regional card pools change over time. The tribute helper covers tribute, Synchro and Xyz only, and ignores ritual, pendulum and link summoning, hand versus field state, and whether your normal summon for the turn is already spent. Card lists, product contents, prices and legality differ by product and by region, so verify them with the official publisher rather than assuming.
Scope and limits: all three tools run locally in your browser, nothing you paste is uploaded, and no state is kept between visits. Every number here is informational, assumes standard counting rules, and inherits any error in the values you type in. For anything that affects sanctioned play, the official card database, the current forbidden and limited list and the published tournament policy are the authority, and this page is not a substitute for them.
Yu-Gi-Oh's 40-card minimum and the 5-card opening hand make every percentage point matter more than in 60-card formats. Most generic calculators assume MTG-style numbers; ours uses your real deck size.
Konami changes the list every 3 months. Catching up reliably would mean a paid database — and stale lists are worse than no list. We mark cards that need review against the official source.
Ritual, Pendulum, and Link are still in active flux. The tool covers the three most stable mechanics: tribute, Synchro, Xyz.
Yes — the probability lab uses the closed-form hypergeometric formula, not Monte-Carlo. Even at 10⁷ trials a simulation would still carry ±0.05% noise.