🎁Weighted Draw Expected Value Calculator

Enter per-item probabilities and rewards to compute expected value per draw.

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Weighted Draw Expected Value Calculator Guide

The Weighted Draw Expected Value Calculator computes the EV of any probabilistic draw β€” gacha pulls, loot boxes, roulettes, raffle drawings β€” from a list of items with their probabilities and reward values. Use it to compare the long-run statistical value of different draw mechanics or to decide whether a paid draw is worth its cost.

The math is straightforward: EV = Ξ£(probability Γ— reward). For example, items at 1%/500, 9%/50, 40%/5, and 50%/0 yield EV = 0.01Γ—500 + 0.09Γ—50 + 0.4Γ—5 + 0.5Γ—0 = 11.5. Add as many items as needed using the "Add Item" button.

Enter an optional draw cost (gacha price, ticket fee, etc.) and the tool reports expected profit/loss and ROI. When EV is below cost, the draw is a long-run statistical loss β€” useful context for buying decisions.

Frequently Asked Questions

How is expected value calculated?

Sum (probability Γ— reward) for all items.

Do probabilities need to sum to 100%?

Ideally yes. A warning appears if they don't.

Should I enter losing outcomes (reward 0)?

Yes β€” include them so probabilities sum to 100% and EV is accurate.