Soft pity is the point where the per-pull rate starts climbing above the base rate. After this threshold each additional pull is more likely to hit, which is why most rares land in the soft-pity window rather than at the very start.

Hard pity is the pull count at which a rare is guaranteed. The probability of that pull is forced to 100%, so you can never exceed the hard-pity cap without obtaining the item.

How does my current pity change the odds?

If you are already inside the soft-pity ramp your per-pull odds are elevated, so a given number of remaining pulls is far more likely to succeed than the same number from zero pity. The tool accounts for exactly where you start.

Why is the per-pull rate not constant?

Most gacha systems keep a low base rate until soft pity, then raise the rate by a fixed step each pull until hard pity forces a win. This calculator multiplies the per-pull miss chances along that ramp for an accurate cumulative figure.

What numbers should I enter for my game?

Use your game's published or community-datamined values. A common pattern is a 0.6% base rate, soft pity around pull 74, a hard pity at 90, and a steep per-pull increase after soft pity. Adjust to match your specific banner.

World of Warcraft Gacha Pity & Pull Calculator

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Constant-rate math is wrong for pity systems, where the per-pull chance ramps up near a guaranteed pull. This calculator models the soft-pity ramp and hard-pity guarantee so you get an accurate chance for your next N pulls from your current pity count.

How it works

The per-pull success rate is the base rate until the soft-pity start, then it increases by a fixed step each pull, and is forced to 100% at hard pity:

rate(k) = base                          if k < softStart
rate(k) = min(1, base + (k − softStart + 1) × step)   if softStart ≤ k < hardPity
rate(hardPity) = 1

The chance of at least one rare across pulls is 1 − Π (1 − rate(k)), multiplied across each pull from your current pity. Expected pulls is the sum of survival probabilities until the rare lands.

Example and tips

With a 0.6% base, soft pity at 74, hard pity at 90, and a per-pull step that ramps toward the cap, almost all rares arrive between pulls 74 and 90. If you are already at pity 70 you are minutes from the ramp — a handful of pulls gives a very high chance. Always confirm your game’s exact soft-pity start and step; different banners and games use different curves, and small differences shift the odds a lot.