> For the complete documentation index, see [llms.txt](https://reaver-imperium.gitbook.io/tower-of-fantasy-player-guide/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://reaver-imperium.gitbook.io/tower-of-fantasy-player-guide/tower-of-fantasy-topics/gacha-systems/limited-weapon-banner-probabilities.md).

# Limited Weapon Banner Probabilities

<figure><img src="https://2798867220-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FxJo6tcqnhWUURh1X65gT%2Fuploads%2FVHwxpQOXoIf4A2ERYafq%2FWeaponAdvancement.png?alt=media&amp;token=a7659e98-8a40-451b-85cc-1788056f7dd8" alt=""><figcaption><p>Probability of getting weapon advancements for a given number of pulls</p></figcaption></figure>

The plot shows the probability of attaining a particular advancement for a limited SSR weapon after the shown number of banner pulls. This is aimed at long-term players that have their standard banner SSRs at A6.

Assumptions:

* All SRs at A6
* All 1.0 standard SSRs at A6
* Buy limited SSR whenever 120 Flame Gold is reached
* Hidden mechanic:
  * Lose two 50/50, next 50/50 guaranteed win
  * Win two 50/50, next 50/50 guaranteed loss
* Starting at zero pity and you can lose the next two 50/50 (worst case start)
* 50/50 refers to getting off-pity and on-pity (80 pulls) SSR

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