Table of Contents
Gacha Performance Chances
Spotlight Flips
At the start of a scout, the game receives which cards were pulled, plus “lot types” for each spotlight. 1 means it can flip, 2 means it should always show the real rarity right away.
If the lot type is 1 and the card is a UR, flips are decided by these chances:
Outcome | Weight | Chance |
---|---|---|
No flip, show UR right away | 9700 | 69.29% |
Spotlight flip, R to UR | 2000 | 14.29% |
Spotlight flip, SR to UR | 2000 | 14.29% |
Feather flip, R to UR | 200 | 1.42% |
Feather flip, SR to UR | 100 | 0.71% |
Rs and SRs will always show as their true rarity - R to SR flips are not possible. (Downwards flips also aren't, obviously.)
Stage
The stage at the beginning of the scout is decided through a “performance level” system. Each element of the screen is decided one by one, each setting a performance level (abbreviates as PL below) as it is chosen, which influences the chances of the options available for the later elements.
1. "Start" Text
Scout Result | Weight | Chance | Outcome | Next PL |
---|---|---|---|---|
Only Rs/SRs | 10000 | 100% | show normal text | 101 |
Single UR | 9700 | 97% | show normal text | 101 |
300 | 3% | show rainbow text | 102 | |
2 or more URs | 10000 | 100% | show rainbow text | 102 |
2. Stage
Scout Result | Min PL | Weight | Chance at PL | Outcome | Next PL | |
---|---|---|---|---|---|---|
101 | 102 | |||||
Only Rs | 101 | 10000 | 100% | - | show R stage | 201 |
Only Rs and SRs | 101 | 3000 | 30% | - | show R stage | 201 |
101 | 7000 | 70% | - | show SR stage | 202 | |
At least 1 UR | 101 | 500 | 5% | 2.5% | show R stage | 201 |
101 | 1500 | 15% | 7.5% | show SR stage | 202 | |
101 | 8000 | 80% | 40% | show UR stage | 203 | |
102 | 10000 | - | 50% | show UR stage | 204 |
3. Penlights
Scout Result | Min PL | Weight | Chance at PL | Outcome | Next PL | |||
---|---|---|---|---|---|---|---|---|
201 | 202 | 203 | 204 | |||||
Only Rs | 201 | 10000 | 100% | - | - | - | show white penlights | 301 |
Only Rs and SRs | 201 | 3000 | 30% | 15% | - | - | show white penlights | 301 |
201 | 7000 | 70% | 35% | - | - | show yellow penlights | 302 | |
202 | 10000 | - | 50% | - | - | show yellow penlights | 302 | |
At least 1 UR | 201 | 500 | 5% | 2.9% | 2.5% | 1.7% | show white penlights | 301 |
201 | 1500 | 15% | 8.8% | 7.5% | 5.0% | show yellow penlights | 302 | |
202 | 7000 | - | 41.2% | 35.0% | 23.3% | show yellow penlights | 302 | |
201 | 8000 | 80% | 47.1% | 40.0% | 26.7% | show rainbow penlights | 303 | |
203 | 3000 | - | - | 15.0% | 10.0% | show rainbow penlights | 303 | |
204 | 10000 | - | - | - | 33.3% | show rainbow penlights | 304 |
4. Screen Animation
Scout Result | Min PL | Weight | Chance at PL | Outcome | Next PL | |||
---|---|---|---|---|---|---|---|---|
301 | 302 | 303 | 304 | |||||
Only Rs | 301 | 10000 | 100% | - | - | - | single white star, white screen | 401 |
Only Rs and SRs | 301 | 3000 | 30% | 15% | - | - | single white star, white screen | 401 |
301 | 7000 | 70% | 35% | - | - | single yellow star, yellow screen with yellow stars | 402 | |
302 | 10000 | - | 50% | - | - | single yellow star, yellow screen with yellow stars | 402 | |
At least 1 UR | 301 | 500 | 5% | 2.5% | 1.7% | 1.25% | single white star, white screen | 401 |
301 | 1500 | 15% | 7.5% | 5.0% | 3.75% | single yellow star, yellow screen with yellow stars | 402 | |
302 | 7000 | - | 35% | 23.3% | 17.5% | single yellow star, yellow screen with yellow stars | 402 | |
301 | 8000 | 80% | 40% | 26.7% | 20% | three yellow stars, yellow screen with rainbow stars | 403 | |
302 | 3000 | - | 15% | 10% | 7.5% | three yellow stars, yellow screen with rainbow stars | 403 | |
303 | 7000 | - | - | 23.3% | 17.5% | three yellow stars, yellow screen with rainbow stars | 403 | |
303 | 2000 | - | - | 6.7% | 5.0% | five rainbow stars, rainbow screen | 403 | |
303 | 1000 | - | - | 3.3% | 2.5% | five rainbow stars, rainbow screen | 404 | |
304 | 10000 | - | - | - | 25.0% | five rainbow stars, rainbow screen + fireworks | 404 |
The final PL outcome does not do anything as far as I can tell.
TL;DR: what does that mean for me as a player
Basically nothing lol, this just tells the game how fancy your gacha result is but doesn't influence what cards you get. But there's some fun insights and maths we can do.
- Most importantly: Fireworks don't mean anything. It just means you reached the maximum performance level in every step, but that's not a result of the gacha pull or something the player did - just some extra additional luck on top of getting an UR. (4.166% chance with multiple URs, 0.125% chance with just one UR)
- There is also nothing special for pulling a new or limited UR, the conditions just count UR rarity cards.
- The most telling element is the “Start” text: The chance to get rainbow text on a single UR pull is quite low, so if you see that colourful button, you've probably got something good coming.
- Pulling a single UR in a 10-pull multi is a chance of 31.5%, the chance to pull at least 2 URs is 8.6%. You'll get a rainbow “Start” in 3% of single UR pulls, but 100% of multiple UR pulls.
- The likelihood to get 2 or more URs when seeing rainbow text is $\frac{8.6\%\cdot100\%}{31.5\%\cdot3\%+8.6\%\cdot100\%} = 90.1\%$.
- Also, if the text is white, but any other element is rainbow, you are guaranteed to have single UR pull (because you can only get rainbow elements on a UR pull, but rainbow text would be guaranteed on more than one UR).
- A scout where fireworks are shown but you only get 1 UR has been commonly dubbed as “Fake Fireworks”. The chance to see those is related to the chance of a 1-UR-rainbow-text scout, since the chances for all other performance elements stay the same between both a single and a multiple UR pull. The chance to see fake fireworks is simply the inverse of the chance above: The likelihood to get only 1 UR even though you see fireworks is $9.9\%$.
- If you get a SR-only multi pull, there's obviously no way an UR rarity element can appear - if you see at least one UR rarity element from the four above, you're going to get a UR (it might flip). The reverse can happen though: on a single UR pull, it is possible to get only R/SR rarity elements. So, if you only see white and yellow, what are the chances you shouldn't skip because you might still get a UR?
- The chance to pull no URs in a 10-pull multi is 59.9%, the chance for a single UR is 31.5%.
- We need to calculate the chance to get only R/SR rarity elements in a single UR result - let's only look at the intro screen for now. For just the text, the chance is simply $97\%$. If we add the stage, we need to multiply the sum of all chances to get white/yellow at PL 101 with that: $97\% \cdot (5\% + 10\%) = 19.4\%$. Now let's add the chances of white/yellow penlights at PLs 201 and 202: $97\% \cdot (5\% \cdot (5\% + 15\%) + 10\% \cdot (2.9\% + 8.8\% + 41.2\%)) = 6.1\%$.
- With that, we can get the likelihood to have a single UR pull despite the intro screen - before tapping - being only white and yellow: $\frac{31.5\%\cdot6.1\%}{59.9\%\cdot100\%+31.5\%\cdot6.1\%} = 3.1\%$.
- That number sounds small, but it's still quite possible: If you go for a spark and do 25 10-pulls, there's a $1-((1-0.031)^{25}) = 54.5\%$ chance to run into a fakeout like this.
- Once you tap, you first see the screen animation. If we add the chance for that one to just be a single star from PL 301 or 302, we get to: $97\% \cdot (5\% \cdot (5\% \cdot 20\% + 15\% \cdot 45\%) + 10\% \cdot (2.9\% \cdot 20\% + 50\% \cdot 45\%)) = 2.6\%$ So if the screen is still only white or yellow, you're left with a UR likelihood of $\frac{31.5\%\cdot2.6\%}{59.9\%\cdot100\%+31.5\%\cdot2.6\%} = 1.4\%$.
- That's an even smaller number, but still, using the same calculation as above, a player doing 25 multis has a $1-((1-0.014)^{25}) = 29.7\%$ chance of seeing this outcome.
- Once all spotlights are revealed and flipped, your only hope left is a feather flip. Any UR lot can become a feather flip with a chance of $300/14000=2.1\%$ (see above). So, at this point we have to consider the chance of getting only R and SR rarity elements on the performance, plus the single UR lot becoming a feather flip: $2.6\% \cdot 2.1\% = 0.06\%$. So at this point, the likelihood is $\frac{31.5\%\cdot0.06\%}{59.9\%\cdot100\%+31.5\%\cdot0.06\%} = 0.0003\%$.
- Now that number is tiny enough to be pretty much irrelevant: You will only have a $1-((1-0.000003)^{25}) = 0.007\%$ chance of seeing this going for a spark. So yes, you can pretty much skip if there's no spotlight flips after all that… but if you don't, and you do hit that 0.0003%, that's a hype moment.
Special Performances
The above information is for Performance ID 1 - a regular pull. There are other Performance IDs for certain scouts:
- Performance ID 2 is used for SR-only tickets (no chance for a UR). This performance can not generate any white elements, and no flips are possible. (However, technically, it can still generate rainbow elements, if there was a UR pulled - even though you can only pull SRs in these scouts…)
- Performance ID 3 is used for UR-only tickets. This performance will always generate rainbow elements only, plus fireworks, and all spotlights will be SR to UR flips. There is no randomness.
- There is also Performance ID 4 - I don't know what it's used for, but it uses the same performance generation as Performance ID 1 described above.
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