Exact calculation
Hypergeometric law applied in real time
Before activating the card mid-duel, know instantly your real chances of finding the card you're looking for.
Free tool
Pot of Sloth Calculator
Calculate the odds of drawing at least 1 target card by playing Pot of Sloth, based on the size of your opponent's board.
Cards remaining in your Deck
Cards you're looking for, in your Deck
Cards you will draw (opponent's board count)
Chance of drawing at least 1 target card
21.4%
Expected target cards drawn : 0.23
Exact outcome breakdown
0 target card drawn
78.6%
1 target card drawn
20.2%
2 target cards drawn
1.1%
3 target cards drawn
0%
Why use this tool?
Based on the opponent's board
Matched to the number of cards your opponent controls
Pot of Sloth draws a number of cards equal to the cards your opponent controls — the tool applies that number directly.
Several target cards
Count several target cards at once
The card you're looking for isn't always a single card: add up every hand trap or removal in your Deck that answers the same board.
What is Pot of Sloth in Yu-Gi-Oh!?
Pot of Sloth is a Spell Card that has you draw a number of cards equal to the number of cards your opponent controls. If you drew 2 or more cards, you then place cards from your hand on the bottom of the Deck, in any order, equal to the number you drew minus 1. You can only activate 1 copy of "Pot of Sloth" per turn.
Concretely, if the opponent controls 4 cards, you draw 4 cards then place 3 back on the bottom of your Deck: you only keep 1 net card. This makes it an ideal tool for digging up a card able to neutralize the opponent's board, since you freely choose which of the drawn cards (or cards already in hand) you keep.
The more developed the opponent's board, the more cards you draw and the higher your chances of finding the card you're looking for — but the more you draw, the fewer cards remain in your Yu-Gi-Oh! Deck for your future turns. This calculator lets you estimate your real chances of drawing a given card before activating the card.
The mathematical formula
Letting N the number of cards remaining in your Deck, K the number of target cards it contains, and n the number of cards drawn (equal to the number of cards your opponent controls), this is a draw without replacement described by the hypergeometric law. The probability of drawing no target card at all is:
P(0) = C(N−K, n) / C(N, n)
The probability of drawing at least 1 target card is therefore simply 1 − P(0). The calculator applies this formula directly, along with the full distribution of how many target cards you could draw.
How to use the calculator
- 1. Cards remaining in the Deck : Enter how many cards you have left in the Deck at the moment you plan to play Pot of Sloth.
- 2. Number of target cards : Enter how many target cards (a single card, or several combined) are still left in that Deck.
- 3. Cards to draw : Enter the number of cards your opponent controls — that's the number of cards Pot of Sloth will have you draw.
FAQ
Frequently asked questions about Pot of Sloth
It's a Spell Card that has you draw a number of cards equal to the number of cards your opponent controls. If you drew 2 or more cards, you then place cards from your hand on the bottom of your Deck equal to the number drawn minus 1. You can only activate 1 copy per turn.
It's a random draw without replacement, described by the hypergeometric law. The probability depends on the number of cards remaining in the Deck, the number of target cards it contains, and the number of cards drawn (equal to the number of cards your opponent controls). This calculator applies that formula directly.
That's the card's effect: the more cards the opponent controls on the field, the more cards you draw with Pot of Sloth, which raises your chances of finding a card able to answer a big board.
Yes: if several cards in your Deck can answer the opponent's board (several hand traps or removal cards, for example), add up the total number of copies to get your real probability of drawing one of them.
Other available tools
Build a Deck with enough target cards for every board
Free, no sign-up — open the deckbuilder and adjust your copy counts accordingly.