Card Pack Expected Value Calculator

About the Card Pack Expected Value Calculator

Is opening packs a good deal or should you buy singles? This calculator computes the expected value (EV) of a card pack by summing the probability-weighted values of all possible pulls.

For any collectible card game, each rarity tier has a specific pull rate and average market value. By multiplying each tier's rate by its value and summing, you get the EV per pack. If EV exceeds the pack cost, packs are +EV; otherwise, buying singles is more efficient.

This applies to physical TCGs, digital card games, and any system where you open randomized packs of items with known market values.

Use the estimate as a planning baseline and adjust it once you have real session data from the game you are playing.

When This Page Helps

Pack opening is exciting but often -EV (negative expected value). Knowing the actual EV prevents overspending on packs when buying individual cards would be cheaper. Make data-driven decisions about whether to crack packs or buy the specific cards you need.

How to Use the Inputs

1. Enter the pack cost.
2. Set the number of cards per pack.
3. For each rarity slot, enter the pull rate and average market value.
4. View the expected value and whether the pack is +EV or -EV.
5. Adjust values as card prices change over time.

Example Calculation

Tips & Best Practices

• New set releases tend to have higher EV as chase cards command premium prices.
• EV drops rapidly after a set has been opened widely — buy packs early or not at all.
• Booster boxes often have guaranteed hit rates that improve EV over individual packs.
• Compare pack EV to the cost of buying the exact cards you want as singles.
• Track historical EV trends to predict when a set becomes profitable to open.
• Sealed product can appreciate in value — consider holding vs opening.

Pack EV Economics

Card pack EV is driven by the secondary market. As players open packs and sell singles, supply increases and prices drop. This means pack EV is time-sensitive — highest at release, declining as the set ages.

The Singles vs Packs Decision

For competitive players building a specific deck, buying singles is mathematically optimal in nearly all cases. For collectors or players wanting broad collection coverage, packs provide more total cards per dollar even if the market value is lower.

Sealed Product Investment

Some players treat sealed product as an investment. Unopened boxes of popular sets can appreciate significantly over years. If the expected appreciation exceeds the EV of opening, holding sealed product can be the optimal strategy.

Frequently Asked Questions

• What is expected value?

  Expected value is the average return from opening one pack over many trials. If EV is $3 and the pack costs $4, you lose $1 on average per pack. Individual packs can beat or miss the average widely.

• Why are most packs negative EV?

  Game companies need to profit. The total value of cards printed exceeds the cost of packs, but commons flood the market and become worthless, dragging down EV. Only rare chase cards hold significant value.

• When are packs positive EV?

  Packs can be +EV at set launch when demand outpaces supply, for sets with exceptionally valuable chase cards, or when sealed product is discounted below MSRP. Keep in mind that individual circumstances can significantly affect the outcome.

• Should I buy packs or singles?

  If you need specific cards, singles are almost always cheaper. Packs are better for building a general collection, enjoying the opening experience, or when you need many commons and uncommons from a new set.

• How do booster boxes change the math?

  Boxes often guarantee a minimum number of high-rarity cards, improving EV per pack. A box of 36 packs might guarantee 1-2 ultra-rares that individual packs don't guarantee, making boxes the better bulk purchase.

• Does this apply to digital card games?

  Yes, with some caveats. Digital cards can't be resold on open markets, so value is measured by dust/crafting currency. EV should be calculated in terms of crafting material gained versus the cost to craft what you need directly.