How does soft pity work?

Below the soft-pity pull every attempt pays the flat base rate. From the soft-pity pull onward the per-pull chance ramps up linearly each pull until it reaches 100% at hard pity, where the drop is guaranteed.

What does the at-least-one chance mean?

It is the probability of getting one or more 5-stars across all the pulls you plan to make. It is calculated as one minus the product of the miss chance on each individual pull, accounting for your rising pity.

Why is my expected pulls number lower than hard pity?

Expected pulls is the statistical average across many players in your situation. Because the soft-pity ramp makes late pulls very likely to hit, most players succeed before hard pity, pulling the average below the guarantee.

Can I use this for non-default banners?

Yes. Change the base rate and the two pity thresholds to match any soft-pity-plus-hard-pity system. The math adapts automatically, so it works for weapon banners, character banners, and other games with similar mechanics.

Does carried-over pity transfer between banners?

In most gacha games the 5-star pity counter carries across banners of the same type, so enter your real running count. Guarantee mechanics like a fifty-fifty featured chance are separate and not modelled here.

Terraria Gacha Pity & Pull Calculator

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Modern gacha banners almost never use a flat drop rate. They layer a soft-pity ramp and a hard-pity guarantee on top of a tiny base chance, which is why your real odds rise sharply as your pity climbs. This calculator uses that exact model to tell you the probability of a 5-star within your next pulls and how close the guarantee is.

How it works

For each upcoming pull, the per-pull success chance depends on your overall pity index since the last 5-star:

if index < soft:            p = base
if soft <= index < hard:    p = base + (1 - base) * (index - soft + 1)/(hard - soft + 1)
if index >= hard:           p = 1

The chance of at least one success across N pulls is one minus the product of the miss chance on every individual pull. The expected pulls until your next 5-star weights each possible pull number by the probability of succeeding exactly then.

Tips and notes

The default values, a 0.6% base rate with soft pity at pull 74 and hard pity at 90, match a widely used character-banner setup. If you play a game with different numbers, change the three banner fields and the odds recalculate instantly. Remember that the 5-star pity counter usually carries across banners, so enter your true running count rather than resetting it each time you switch. Separate guarantee systems, such as a featured fifty-fifty, sit on top of this and are not included here.