Step 1
Your odds of opening Phantazmay
Based on the number of copies you play, your Deck size and your opening hand size.
Free tool
Phantazmay Calculator
Compute your odds of opening Fantastical Dragon Phantazmay, then of drawing the card you are looking for with its effect, based on how many Link Monsters your opponent controls.
Cards in your Main Deck
Cards in your opening hand
Copies of Phantazmay
Copies of the card you want
Link Monsters your opponent controls
Phantazmay in your opening hand
33.8%
3 copies in a 40-card deck, 5-card hand
Its effect draws the card you want
16.6%
Draw 2, shuffle 1 back — the card is not already in your hand.
Having the card you want
33.8% → 37.7%
Opening hand alone → with Phantazmay resolved · +4.0 pts
Assumes your opponent Special Summons a Link Monster and Phantazmay resolves. You choose the cards shuffled back, so a drawn copy of the card you want is always kept.
Odds for each number of Link Monsters your opponent controls
Click a row to select that number of Link Monsters.
| Link Monsters | Cards drawn | Effect finds the card | Having the card | Gain |
|---|---|---|---|---|
| 1 | 2 | 16.6% | 37.7% | +4.0 |
| 2 | 3 | 24.2% | 39.6% | +5.8 |
| 3 | 4 | 31.3% | 41.3% | +7.5 |
| 4 | 5 | 38.0% | 42.9% | +9.1 |
| 5 | 6 | 44.2% | 44.3% | +10.6 |
| 6 | 7 | 49.9% | 45.7% | +12.0 |
Why use this tool?
Step 2
What its draw gets you
The probability that the cards drawn by its effect include the card you are looking for, for 1 to 6 opposing Link Monsters.
Bottom line
With and without Phantazmay
Your odds of having the card you want with the opening hand alone, then once Phantazmay has resolved: the real gain the card brings.
What does Fantastical Dragon Phantazmay do in Yu-Gi-Oh!?
Fantastical Dragon Phantazmay is a Level 7 DARK Dragon monster (2400 ATK / 1800 DEF) played as a hand trap against decks that go through Link Monsters. If your opponent Special Summons one or more Link Monsters, you can Special Summon it from your hand, draw cards equal to the number of Link Monsters your opponent controls + 1, then shuffle cards from your hand into the Deck equal to the number of Link Monsters they control.
The net result is always +1 card, but you see more cards than you keep: against 2 Link Monsters, you draw 3 cards and shuffle back 2 of your choice. That makes it an excellent way to dig for a specific hand trap or board breaker during your opponent's turn.
Its second effect (Quick Effect) negates an opposing card or effect that targets a monster you control, by discarding 1 card. Each effect can only be used once per turn. This calculator covers the first effect: it helps you decide how many copies to play in your Yu-Gi-Oh! Deck.
The mathematical formula
Every calculation is a draw without replacement (hypergeometric law). With N cards in the Deck, h cards in the opening hand, P copies of Phantazmay, K copies of the card you want and d cards drawn by the effect (opposing Link Monsters + 1):
P(Phantazmay) = 1 − C(N−P, h) / C(N, h)
P(effect) = 1 − C(N−h−K, d) / C(N−h, d)
P(total) = P(card in hand) + P(not the card, but Phantazmay) × P(effect)
The total only counts Phantazmay's effect in hands that do not already hold the card you want: that is what avoids counting the same hands twice.
How to use the calculator
- 1. Your Deck and your hand : Enter the size of your Main Deck (40 to 60 cards) and of your opening hand (usually 5 cards).
- 2. Phantazmay and the card you want : Enter how many copies of Phantazmay you play, and how many copies of the card you want to find (or of several cards combined).
- 3. Opposing Link Monsters : Enter how many Link Monsters your opponent controls when Phantazmay resolves, or click a row of the table to compare from 1 to 6.
FAQ
Frequently asked questions about Phantazmay
As many as the number of Link Monsters your opponent controls, plus 1. You then shuffle as many cards from your hand into the Deck as they control Link Monsters: the net gain is always 1 card, but you choose which ones to keep.
In a 40-card Deck with a 5-card hand: about 12.5% with 1 copy, 23.7% with 2 and 33.8% with 3. The calculator gives the exact value for your Deck.
No. Your opponent must Special Summon a Link Monster (except during the Damage Step). Against a deck that plays no Link Monsters, Phantazmay stays in hand: the calculator assumes the condition is met.
Yes. You choose the cards shuffled back into the Deck, so a wanted card drawn by the effect is always kept. That is what the calculator assumes.
Other available tools
In the same category: Draw odds and Pots
Find the right number of Phantazmay for your Deck
Free, no sign-up — open the deckbuilder and adjust your copy counts accordingly.
