Exact calculation
Hypergeometric law applied in real time
Know exactly what each card drawn with Mulcharmy is worth, instead of relying on gut feeling.
Free tool
Mulcharmy Calculator
Calculate your odds of drawing a starter, hand trap or board breaker with Mulcharmy Purulia, Fuwalos or Meowls, based on how many cards your opponent lets you draw.
Cards remaining in your Deck
Cards drawn with Mulcharmy
Starters left in your Deck
Hand traps left in your Deck
Board breakers left in your Deck
Starter
64.9%
At least 1 in the cards drawn
Expected number drawn : 0.86
Hand trap
60.3%
At least 1 in the cards drawn
Expected number drawn : 0.77
Board breaker
24.2%
At least 1 in the cards drawn
Expected number drawn : 0.26
Chance of drawing at least 1 starter, hand trap or board breaker
95.6%
Odds for each number of cards drawn
Click a row to select that number of cards drawn.
| Cards drawn | Starter | Hand trap | Board breaker | At least 1 of the 3 |
|---|---|---|---|---|
| 1 | 28.6% | 25.7% | 8.6% | 62.9% |
| 2 | 49.6% | 45.4% | 16.6% | 86.9% |
| 3 | 64.9% | 60.3% | 24.2% | 95.6% |
| 4 | 75.8% | 71.4% | 31.3% | 98.6% |
| 5 | 83.6% | 79.7% | 38.0% | 99.6% |
| 6 | 89.1% | 85.8% | 44.2% | 99.9% |
| 7 | 92.9% | 90.2% | 49.9% | 100.0% |
| 8 | 95.4% | 93.4% | 55.3% | 100.0% |
| 9 | 97.1% | 95.6% | 60.3% | 100.0% |
| 10 | 98.2% | 97.1% | 64.9% | 100.0% |
| 11 | 98.9% | 98.1% | 69.1% | 100.0% |
| 12 | 99.4% | 98.8% | 72.9% | 100.0% |
| 13 | 99.6% | 99.3% | 76.5% | 100.0% |
| 14 | 99.8% | 99.6% | 79.7% | 100.0% |
| 15 | 99.9% | 99.8% | 82.6% | 100.0% |
Why use this tool?
Three separate roles
Starter, hand trap and board breaker calculated separately
A drawn hand trap is live right away during your opponent's turn, while a starter or board breaker matters on your turn: the tool keeps the three apart.
Draw by draw
A full table from 1 to 15 cards drawn
See how many draws it takes before your opponent almost certainly hands you the card you're missing.
What do the Mulcharmy cards do in Yu-Gi-Oh!?
Mulcharmy Purulia, Mulcharmy Fuwalos and Mulcharmy Meowls are hand traps: if you control no cards, you can discard the monster (Quick Effect) to draw 1 card each time your opponent performs a certain kind of Summon this turn. Purulia reacts to Normal and Special Summons from the hand, Fuwalos to Special Summons from the Deck or Extra Deck, and Meowls to Special Summons from any GY or banishment.
Your opponent then has two options: stop early and end on a weak board, or keep comboing while you draw. During the End Phase, if you have more cards in hand than the number of cards your opponent controls + 6, you must shuffle cards from your hand into the Deck at random until you reach that number.
Not every drawn card is worth the same: a hand trap interrupts the combo in progress, a board breaker clears the board on your turn, and a starter lets you play afterwards. This calculator gives your odds for each of these roles based on the makeup of your Yu-Gi-Oh! Deck.
The mathematical formula
Letting N the number of cards remaining in your Deck, K the number of cards of a given role it contains (starters, hand traps or board breakers), and n the number of cards drawn with Mulcharmy, this is a draw without replacement described by the hypergeometric distribution. The probability of drawing no card of that role is:
P(0) = C(N−K, n) / C(N, n)
The probability of drawing at least 1 is therefore 1 − P(0). For the “at least 1 of the 3” line, K is the sum of starters, hand traps and board breakers. The calculator applies this formula for every number of cards drawn, from 1 to 15.
How to use the calculator
- 1. Cards remaining in the Deck : Enter how many cards are left in your Deck when you activate Mulcharmy — 35 for a 40-card Deck with a 5-card opening hand.
- 2. Starters, hand traps and board breakers : Enter how many cards of each role are still in the Deck, not counting those already in your hand. A card only counts towards one role.
- 3. Cards drawn : Enter the number of cards drawn with Mulcharmy, or click a table row to compare each number of draws.
FAQ
Frequently asked questions about Mulcharmy
They are hand traps you discard when you control no cards: for the rest of that turn, you draw 1 card for each matching Summon your opponent performs (from the hand for Purulia, from the Deck or Extra Deck for Fuwalos, from any GY or banishment for Meowls).
It depends entirely on your opponent's combo: an opponent who stops gives you 1 or 2 cards, while a full combo can give 8 or more. The calculator's table shows your odds for every number of draws, from 1 to 15.
It is a draw without replacement, described by the hypergeometric distribution: the probability depends on the number of cards left in the Deck, the number of hand traps it contains, and the number of cards drawn. The calculator applies this formula to hand traps, starters and board breakers.
Not always: during the End Phase, if your hand exceeds the number of cards your opponent controls + 6, you shuffle random cards into the Deck down to that number. Hand traps you used during your opponent's turn are no longer in your hand by then.
Other available tools
In the same category: Draw odds and Pots
Build a Deck that makes the most of every card drawn with Mulcharmy
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