What is soft pity versus hard pity?

Soft pity is the point where the per-pull drop rate begins climbing above the base rate as your pity count rises. Hard pity is the count at which the drop becomes guaranteed at 100 percent, resetting your counter.

How is the cumulative probability computed?

The tool multiplies the per-pull miss chance across each upcoming pull, accounting for the rising rate after soft pity, then subtracts from 1. That gives the chance of at least one success in the window.

Why does my chance jump near hard pity?

After soft pity the per-pull rate ramps each step, so the miss probability shrinks quickly. By hard pity the rate reaches 100 percent, which is why cumulative odds spike to certainty there.

What rates should I enter?

Use the rates published for your specific banner or system. A common pattern is a low base rate (for example 0.6 percent), a soft-pity start around 74, and a hard pity at 90, but adjust to match your game.

Does a guaranteed drop reset my pity?

Yes. Hitting the top-tier drop, whether by luck or at hard pity, resets your pity counter to zero. Set your current pity to 0 after a drop to track the next cycle.

Destiny 2 Gacha Pity & Pull Calculator

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Destiny 2 style gacha pity

Many gacha systems combine a low base drop rate with a pity mechanic: once your pull count crosses a soft-pity threshold, the per-pull rate ramps up each step until it reaches a hard-pity cap where the drop is guaranteed. This tool models that ramp so you can see your real odds of hitting a top-tier drop within the next batch of pulls and exactly how many pulls remain until a guarantee.

How it works

Below soft pity, every pull uses the flat base rate. From soft pity onward the rate increases linearly each pull until it reaches 100 percent at hard pity:

rate(n) = base                                  if n < softPity
rate(n) = base + step * (n - softPity + 1)      if n >= softPity
rate(n) = min(rate(n), 1.0)   and  = 1.0 at hardPity

The chance of at least one success across your next k pulls is one minus the product of each pull’s miss chance:

P(at least one) = 1 - Π (1 - rate(n))   for the upcoming pulls n

Pulls until guaranteed is simply hardPity - currentPity.

Tips and notes

The ramp step is auto-derived so the rate reaches 100 percent exactly at hard pity, matching the common “guaranteed at cap” design.
Enter the published numbers for your specific banner — base rates and pity caps vary widely between systems and seasons.
After any top-tier drop, reset current pity to 0; both lucky early drops and hard-pity drops reset the counter.