License reroll guide

by stuckatsixpm

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# Guild Guide: License Rerolling

A in-depth breakdown of how rerolling your License Grade works!

You can look at the Guild License page to find general informations about Licenses and their variations.

This Guild Guide aims to break down that information and provide an overview of how this somewhat mathematical mechanic works. Everything in this article, other than the extra analysis, has been shared previously, but this collates all of the information in one place.

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*Before I dive into the article, I want to make clear that this is an analysis of the mathematics behind License Rerolling, and does **NOT** guarantee an improvement in your grades, nor should it be taken as financial advice. You should make your own informed decisions.*

*I’ll also mention this here, because I know many people will skip over the “What’s a reroll?” section: **Reroll Tickets will become easier to obtain later in the closed beta.** Additionally, we are planning to release a very rare consumable that can guarantee an improvement to one of your grades.*

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*It should be noted that License Reroll Tickets are now available in the Nefty drop page, either for 1000 GUILD, or for 240 WAX.*
They can also be found when opening Loot Pouches from Special Requests.

Common questions in our Discord include:

* How do Guild License Rerolls work?
* How can I reroll my license?
* What’s the difference between rerolling a Standard License vs an Astral Ascension License?
* What are the odds when I reroll?
* What’s the statistically best method for rerolling?

Let’s dive right in and have a look at the answers to these questions!

## What’s a reroll and how do I do it?

If you have a Guild License that’s registered to you, you’ll know there are currently 3 traits your license has. These are:

* Quests — provides a number of bonus quests to your daily limit
* Stats — increases all your stats by a certain amount/percentage
* Characteristic — a passive effect your license gives you while equipped

Each trait is graded from **E** through to **A**, with E being the most common and providing a nice bonus to your character, and **A** being incredibly rare and borderline “game-breaking”.

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*I’ll also emphasise that there isn’t really any such thing as a “bad license grade” — All licenses enhance your character past what they’d have without the license. While high grades give much more powerful effect, no matter what grades you roll, your character is stronger with a license than without.*

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Rerolling allows you to select one of these attributes and obtain a different one instead. After rerolling, you’re given the option to choose between the old trait or new one.

In order to reroll a license trait, you’ll need a License Reroll Ticket.

At first, these elusive consumable items were only obtainable as a rare reward from Loot Pouches (earned by completing Special Requests). More ways of obtaining a License Reroll Ticket have finally arrived, making them more accessible to all players: License Reroll Tickets are now available in the Nefty drop page, either for 1000 GUILD, or for 240 WAX.

There is also a special reward consumable planned that will guarantee an improvement when rerolling a trait, however due to the sheer power of this consumable, it will not be something players should rely on obtaining.

## How does my license type affect my reroll?

For Standard Guild Licenses, you can’t reroll the same grade for Quests or Stats. You can’t reroll the same characteristic either, although the grade of the characteristic might be the same.

For Astral Ascension Licenses, you can’t roll lower than a **C** when rerolling. Because of this special feature, it is possible for Astral licenses to roll the same grade repeatedly.

This leads to two important points:

* Standard Licenses: If you have an **E** grade, rerolling can only result in an improvement
* Astral Licenses: If you have a **D** grade, rerolling can only result in an improvement

## What are my odds when rerolling?

Before looking at the odds for rerolling, we first need to look at the base odds of each grade.

 D
 C
 B
 A

The weightings here sum to 100, so the Weight is also the percentage chance (e.g. you have a 69.45% chance of an E grade). Therefore, **E** is by far the most common grade, with **A** being incredibly rare, with a 1/2000 chance to occur.

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*IMPORTANT: The following information only applies to rerolling Stats/Quests!*

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When rerolling, the corresponding grade is removed from the possibilities, and the remaining weights are used to calculate the odds.

You can see the odds of each grade when rerolling a **Standard License** below.

Standard License Reroll chances

For **Astral Ascension** licenses, things work a bit differently. Because the only possibilities are C, B, or A, and the new grade can be the same as the old grade, the chance of a rerolling a specific grade is not affected by the current grade.

 C
 B
 A

This leads to some more important points:

* For Standard Licenses, the lower your current grade, the better your chances of rerolling a high grade. With an **E** than any other grade, you have 3x the chance of rolling an **A** (0.16%) compared to rerolling a **B** (0.05%). Obviously, Astral Licenses have a much higher chance of rolling a **B** or an **A** than Standard Licenses, so this doesn’t come into play here.
* Generally, trying to improve from a C grade isn’t going to be a practical option. I break it down below, but if you have a Standard License **and use the strategy I describe below**, it’ll take over 50 rerolls on average to see an improvement.
* If you have the ability to reroll multiple times, it’s statistically better to roll down to an E, then try to roll up from there. Obviously this has the risk that you’re unlucky and end up stuck with a worse grade than you started with. To help put things into perspective I did some simulations!

## Simulations — Standard License

**READ THIS: I’ll again preface this by saying that rolling down to an E has the risk that you’re unlucky and end up stuck with a worse grade than you started with, which can greatly hinder your character’s gameplay options.**

This strategy works best if you have a Standard License that already has a high grade on it, so you want to try to improve one of the other grades, and are planning on continuing to reroll until you get an improvement.

To demonstrate how rolling down to **E** can improve your rerolls, I did the following simulated the following strategies using the percentages above.

* Strategy #1 — Roll to **E**: Start with a grade (**D, C, B**) and reroll an **E** is rolled. If an **E** is rolled, accept the **E** and keep rerolling until a grade higher than the starting grade is rolled. Obviously if a grade higher than the starting grade is rolled before an E, then the simulation stops there.
* Strategy #2 — Reroll until an improvement: Start with a grade (**D, C, B**) and reroll until a higher grade is rolled.

I simulated these two strategies using starting grades of **D, C,** and **B**. Each strategy/grade combo was simulated 100,000 times, giving the following results.

 E
 D
 C
 B

As you can see, if you have a high Grade, it’s rather impractical to try to reroll for higher. However, if you have a lower grade, you have a relatively good chance to improve your license’s grades.

## And that’s rerolling!

That wraps up this Guild Guide. I hope this article helps to clear up confusion about how rerolling works, and exactly what the odds of rolling grades are.

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