Fire Emblem Heroes Pity Calculator

How Fire Emblem Heroes pity works

Fire Emblem Heroes advertises a base rate of 3% per pull for a 5★ focus hero. On its own that base rate would make long droughts common — so the game layers a pity system on top.

• There is no hard pity guarantee in Fire Emblem Heroes, so the base rate (plus any soft ramp) is what carries you.

This calculator models that exact behaviour with a Monte-Carlo simulation, so the percentage you see reflects the real soft/hard-pity curve, not just the flat base rate.

The math behind the odds

Without any pity, the chance of at least one 5★ focus hero in N pulls is:

P(at least one) = 1 − (1 − p)^N

where p is the per-pull rate (3%). Because of that ramp, we simulate tens of thousands of pull sessions and report how often you'd succeed, which is more honest than a single closed-form number.

How to use this Fire Emblem Heroes pity calculator

1. Enter your current pity. That's the number of pulls since your last 5★ focus hero (0 if you just got one or are starting fresh).
2. Enter pulls available. How many pulls you can currently afford on this banner.
3. Read your odds. See your chance to land the 5★ focus hero, plus the average pulls each 5★ focus hero takes.

Worked example

Starting from 0 pity with 90 pulls saved, there is no hard-pity guarantee, so even a large number of pulls only makes a 5★ focus hero very likely, never certain. Lower your pulls or raise your starting pity and watch the headline percentage move in real time.

Pull-planning tips

• Know your distance to pity. Without hard pity, budget generously: variance can be brutal at low base rates.
• Don't fall for the gambler's fallacy. Outside the pity ramp, each pull is independent — a long dry streak doesn't "owe" you a win.
• Compare other games with the general gacha probability calculator, or see all gaming tools.