Deck Probability

CALCULATOR

Yu-Gi-Oh Opening Hand Calculator

Yu-Gi-Oh opening hand calculator β€” enter your cards with min/max constraints and instantly compute the exact probability of opening the hand you need.

AmtMinMax
Miscellaneous Cards3805

You have a 1.28% chance to open this hand.

How the Yu-Gi-Oh Opening Hand Calculator Works

Yu-Gi-Oh opening hand calculator demo showing card probability result

This Yu-Gi-Oh opening hand calculator shows the exact probability of drawing a hand that meets ALL your card constraints simultaneously.

AmtHow many copies of this card are in your deck (out of the total deck size).
MinThe minimum number of this card you want in your opening hand.
MaxThe maximum number of this card you want in your opening hand.

Example: Blue-Eyes White Dragon (Amt: 2, Min: 1, Max: 1) + Ash Blossom (Amt: 3, Min: 1, Max: 3) = probability of opening exactly 1 Blue-Eyes AND at least 1 Ash Blossom at the same time.

Yu-Gi-Oh Opening Hand Calculator FAQ

What math does the Yu-Gi-Oh opening hand calculator use?

The calculator uses multivariate hypergeometric distribution β€” the exact mathematical formula for drawing cards without replacement from a finite deck. Results are precise, not estimated.

Can I set both minimum and maximum constraints per card?

Yes. Min sets the fewest copies you need in your opening hand. Max sets the most you want. For example, Min 1 / Max 1 means you want exactly 1 copy β€” no more, no less.

How does adding more cards affect the Yu-Gi-Oh opening hand probability?

Each card you add is an additional constraint that must be satisfied simultaneously. More cards with high Min values will lower the probability because it becomes harder to meet all conditions at once.

Need more advanced features? Try our Yu-Gi-Oh Deck Probability Calculator or Riftbound Deck Probability Calculator