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src/pages/blog/instant-death.md
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---
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layout: ../../layouts/blogPost.astro
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title: 'FGO Mechanics: Instant Death'
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pubDate: 2023-08-19
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description: 'Blog post talking about instant death in FGO, how you can take advantage of it and what its limits are.'
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author: 'Firq'
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tags: ['fgo', 'games']
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---
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> **Disclaimer**<br>
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> While writing this, Requiem and I faced a bit of a challenge concerning death rate calculations. Case in point is the passive "Item Construction"
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and its interaction with Instant Kill, as we could not reach a final verdict if it affects Instant Kill Hit rate or not. In case of this article, I will assume
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it doesn't interact with the hitrate, but if you have proof that this is different, I will gladly incorporate this in the article.
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## Introduction
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Instant Kill & Instant Death: One of the most rejected systems to exist in FGO. Most players know of it, but discard it because of its unreliability and uselessness against stronger enemies. In this article, I want to dive a bit into the workings of Instant Kill and help you understand how you can, in specific scenarios, use it to your advantage.
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There are a multitude of servants that have access to instant-kill, but I will only highlight a few here (You can view the full list on <a href="https://gamepress.gg/grandorder/instant-death" target="_blank" rel="noopener noreferrer" style="font-style: unset">Gamepress</a>)
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- **Nitocris (Caster)**: The most prominent figure, as she has easy access to her instant-killing NP and a skill that increases her death hit rate
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- **Void Shiki (Saber)**: Another Example of an AOE Instant-Kill servant who also has access to Death Resist debuffs. One quest in her release event even specifically used the Instant Kill mechanic (<a href="https://apps.atlasacademy.io/db/NA/quest/94021308/1" target="_blank" rel="noopener noreferrer" style="font-style: unset">Quest Link here</a>)
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- **King Hassan (Assassin)**: The only servant that can afflict enemies with instant death on normal attacks (Note: David can do this as well, but only if he has his Bond CE equipped)
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But since Instant Kill is based on probability, most players are relucatant to use it in their farming compositions. This thems from the different death rates enemies have:
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- Bronze: 80%
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- Silver: 50%
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- Gold: 20%
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This list here is just for rarities. However, there are a lot more factors to consider, as some enemies have higher death rate, some lower. Be sure to check each case individually, as rates may vary.
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Also, servant enemies usually have a death rate of 0.1%, sometimes a bit more like 0.3% or 0.4%. So going for Instant Kill on servants will, in the majority of cases, not work.
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## Calculating Instant Death Rate
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The formular for getting the probability of an enemy dying to Instant Kill is as follows:
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```
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death = hitRate * deathRate * (1 + instantDeathRateUp - instantDeathRateDown - instantDeathResistUp + instantDeathResistDown)
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```
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The parameters here are the following:
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- `hitRate`: The Death Hit rate of the effect or NP used
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- `deathRate`: The Enemy Death rate
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- `instantDeathRateUp`: Buffs that increases instant kill success rate (Nitocris S1)
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- `instantDeathRateDown`: Debuffs that decreases instant kill success rate
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- `instantDeathResistUp`: Buffs that increases instant kill resistance (Taira S2)
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- `instantDeathResistDown`: Debuffs that decreases instant kill resistance (Void Shiki S1)
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## Example
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The main reason this came up was because of a farming comp used in <a href="https://apps.atlasacademy.io/db/NA/quest/94061820/1" target="_blank" rel="noopener noreferrer" style="font-style: unset">Hunting Quest XI - Day 5 - Pride+</a>. The node is structured
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into a 2 - 1 - 1 Layout, meaning using a dual-DPS setup would be the way to go.
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Looking at the stats for the first wave, it made sense to use Nitocris: Both Ghouls have a 100% Death Rate <a href="https://apps.atlasacademy.io/db/NA/enemy/9940700" target="_blank" rel="noopener noreferrer" style="font-style: unset">according to Atlas Academy</a>.
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I went with using Nitocris, since she has a 100% NP charge and a skill that increases her Instant Death rate by 100%. Not needing any additional charge meant that no other buffs or AOE charges needed to be used on turn 1.
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Her kit brings the following stats:
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* Her NP has an Insta-Kill Hit Rate of 50% when used at Overcharge 1 (meaning 100% charge)
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* Her S1 increases Insta-Kill success rate by 100%
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### Actual calculation
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When using the formular from above, we have the following values
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```
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hitRate: 50%
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deathRate: 100%
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instantDeathRateUp: 100%
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instantDeathRateDown: 0%
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instantDeathResistUp: 0%
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instantDeathResistDown: 0%
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```
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This means we can fill in the formular like this
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```
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death = 0.5 * 1 * (1 + 1 - 0 - 0 + 0)
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```
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We now break everything down step by step
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```
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death = 0.5 * (1 + 1)
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= 0.5 * 2
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= 1
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= 100%
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```
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So her death succeeds 100% of the time on these ghouls, which makes her perfect to use in this scenario.
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For other skill levels, this looks like this (_Her S1 scales from 50% to 100%_)
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```
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Skill Level | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10
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-------------|-----|-------|-----|-------|-----|-------|-----|-------|-----|------
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Death % | 75% | 77.5% | 80% | 82.5% | 85% | 87.5% | 90% | 92.5% | 95% | 100%
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```
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In the end, this resulted in the following comp that worked like a charm.
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<div style="width: 100%; display: flex; justify-content: center; padding-top: 0.75rem">
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<iframe width="640" height="360" src="https://www.youtube-nocookie.com/embed/UwbNp_dB_VU" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen></iframe>
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</div>
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## Conclusion
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This small article should have given you an insight into using Instant Death as an advantage in the future. But remember: Stacking Gacha in a Gacha game can backfire.
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That's all for now, thanks for reading
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~ Firq
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