Fire Emblem Hit Rate Calculator

Fire Emblem's combat accuracy system is one of the most distinctive mechanics in tactical RPGs. Unlike most strategy games that use straightforward percentage rolls, most Fire Emblem titles employ a Two Random Number (2RN) system that significantly skews the probability distribution away from extremes. Understanding both the displayed hit rate and the true hit rate is essential for making informed combat decisions.

The combat accuracy calculation involves two separate stages. First, a raw hit rate is computed from the attacker's stats and weapon. Second, the enemy's avoidance is subtracted to yield the displayed hit rate — the number you see in the battle preview. In most games (Three Houses, Engage, Awakening), this displayed value is then processed through the 2RN algorithm to produce the true hit rate, which is the actual probability that the attack lands. Fire Emblem Fates is the notable exception, using a single random number (1RN) so the displayed hit equals the true hit.

This calculator covers four major titles: Fire Emblem: Three Houses, Fire Emblem Engage, Fire Emblem Fates, and Fire Emblem Awakening. Each game follows the same base formula for attacker hit rate and enemy avoid, but differs in how those numbers are translated into an actual probability. Use this tool to plan difficult encounters, evaluate weapon choices, and understand whether a risky attack is really as dangerous as it looks.

The attacker's raw hit rate is assembled from several sources: the weapon's base accuracy, the unit's Skill (or Dexterity) stat, their Luck stat, any active support bonus, and the weapon triangle modifier. In Three Houses, activating a Gambit also adds a flat +20 to hit. The enemy's avoid stat is independently calculated from their Speed, Luck, any terrain bonus, and their own support bonuses.

Once both values are known, the displayed hit is simply the difference, clamped between 0 and 100. The displayed hit is what you see in the pre-battle forecast window. Knowing how this number maps to a true probability — especially under the 2RN system — lets you assess risk much more accurately than trusting the display alone.

For example, a displayed 80% in a 2RN game corresponds to a true hit of roughly 92%, making it far more reliable than it appears. Conversely, a displayed 30% is only about 9% true — meaning that "unlucky" miss is actually the expected outcome nearly nine times out of ten.

The Two Random Number system is one of Fire Emblem's most beloved (and misunderstood) design choices. When the game resolves an attack, it does not generate a single random number between 1 and 100 and compare it to the displayed hit. Instead, it generates two independent random numbers, averages them, and compares that average to the displayed hit rate.

Because the average of two uniform random variables follows a triangular distribution rather than a flat one, the probability of extreme outcomes is greatly reduced. Numbers near the center (around 50) are far more likely to appear than numbers near 0 or 100. This means:

• A displayed hit of 90% produces a true hit of approximately 99% — near-certain.
• A displayed hit of 75% produces a true hit of approximately 94% — very reliable.
• A displayed hit of 50% produces a true hit of exactly 50% — unchanged.
• A displayed hit of 30% produces a true hit of approximately 9% — nearly hopeless.
• A displayed hit of 10% produces a true hit of approximately 1% — virtually impossible.

The practical implication is that Fire Emblem rewards building reliable accuracy. An 85% displayed hit is not "mildly risky" — it is close to guaranteed under 2RN. Equally, chasing a 25% displayed hit is statistically far worse than the number suggests. This asymmetry is intentional: it punishes reckless play while rewarding careful stat and weapon management.

Fire Emblem Fates deliberately broke this convention by switching to 1RN, making the displayed hit exactly equal to the true hit. This change increased difficulty and restored a rawer, less forgiving feel to combat. When using this calculator, select the correct game to ensure the right random number system is applied.

Beyond base stats, three external systems can dramatically shift the hit probability in any given engagement: the weapon triangle, terrain bonuses, and support relationships.

The weapon triangle applies a flat modifier to both hit rate and avoid (and often damage). Using a weapon that has advantage over the enemy's weapon type grants +15 hit; using a weapon at a disadvantage imposes −15 hit. Choosing the right weapon type before engaging an enemy is therefore not just about damage — it directly improves or worsens your accuracy by 30 percentage points relative to the disadvantaged attacker.

Terrain avoid is the avoid bonus granted to a unit based on the tile they are standing on. Common terrain types and their approximate avoid values include forests (+20), forts and thrones (+30), peaks (+40), and pillars (+20). Enemies standing on high-avoid terrain can be significantly harder to hit, making it important to reposition or use high-accuracy weapons before attacking units in fortified positions.

Support bonuses accumulate as characters build relationships throughout the game. Both the attacker and the defender can have support partners nearby who grant hit and avoid bonuses. Leveling up support relationships is one of the most consistent ways to improve accuracy across a campaign without relying on weapon changes or skill investment.

In Fire Emblem: Three Houses, the Gambit Boost is a unique mechanic where a battalion's ability grants an additional +20 hit to the unit's next attack. This is particularly powerful on units with moderate Skill stats who need a temporary accuracy boost for a critical engagement.

Knowing the formulas is useful; knowing how to apply them in practice is what separates a good Fire Emblem player from a great one. Here are the key accuracy benchmarks every player should internalize when planning combat under the 2RN system.

A displayed hit of 70% or above is generally considered reliable. Under 2RN, 70% displayed maps to about 91% true — meaning you will land the hit roughly nine times out of ten. For standard combat this is an acceptable risk, especially when the alternative is not attacking at all.

Displayed hits in the 50–69% range are genuinely risky. While 60% displayed sounds reasonable, the true hit is only about 84%. Over many such attacks you will notice more misses than expected if you have only been reading the displayed number.

Anything below 50% displayed should be treated as a low-probability gamble. A 40% displayed hit is only 16% true — roughly one in six. A 25% displayed hit is just over 6% true, making it about as reliable as rolling a specific number on a standard die.

The best strategy is to invest in units with high Skill/Dexterity stats, equip weapons with high base hit (even at the cost of some damage), leverage weapon triangle advantage where possible, and ensure your frontline units have developed support relationships. Combining these factors pushes displayed hit well above 80%, which translates to true hit rates in the mid-90s — making combat outcomes highly predictable and dramatically reducing the role of luck in your runs.