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My estimates on washer drop chances

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Ari13ian

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August 5, 2022
Messages
373
Points
52
IGN
Ari13ian
8 months ago I started doing some finding of my own on minigame brain washers and here are my estimates on the washer drop chances

Gold Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
22.98851​
25%​
Rare
35.28736​
35%​
Epic
20.57471​
20%​
Legendary
18.85057​
18%​
Mythic
0.689655​
1%​
Special*
1.609195​
2%​

Silver Brain*
Rarity​
Drop chance​
Rounded drop chance​
Common
19.04761​
20%​
Rare
42.85714​
40%​
Epic
19.04761​
20%​
Legendary
9.52380​
10%​
Mythic
0⁺​
~0%​
Special*
9.52380​
10%​

Bronze Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
37.29508​
40%​
Rare
42.62295​
40%​
Epic
9.83606​
10%​
Legendary
5.32786​
5%​
Mythic
0⁺​
~0%​
Special*
4.91803​
5%​

* Dont know what the rarity is called but we get stuff like direct coins or brains from it
* Data used here wasnt much, so chances for silver might be off by quite a bit
⁺ Chance is too low to be acurately calculated



How these numbers affect your lootbox opening strat ?

Now that you have chances you can open washers depending upon rarity of ingame cosmetic you looking for.
So for example say you are looking for Statistic Kill Msg (the irony ik) which is a legendary cosmetic.
Legendary cosmetics have approximately 18%, 10% and 5% drop chance in gold, silver and bronze which cost 35, 20 and 10 brains respectively
Lets use this probabilities for an event where we are opening washers worth 140 brains i.e. 4 gold, 7 silver or 14 bronze ones
(why 140 ? with 140 brains we have integer values on number of attempts we getting)
Now we will calculate the odds of getting atleast one legendary cosmetic from 4 gold washers
Probability of getting legendary cosmetic from gold washer is 0.18 for one spin, that means probability of not getting legendary will be 0.82
We are spinning it 4 times, so probabilty of not getting legendary from all 4 spins will be 0.82⁴ = 0.4521
Therefore, chances of getting it atleast once in two spins will be 1-0.4521 = 0.5479
Similarly we can calculate this for Silver and Bronze which comes out to be 0.5217 and 0.5123
So this means even though very close Gold brain has highest probabilty of giving a legendary cosmetic


So I calculated chances for all the other rarities and we get this
Chance of getting a specific rarity cosmetic from a specific washer

Rarity​
Bronze
Bronze (R)
Silver
Silver (R)
Gold
Gold (R)
Best Brain Washer​
Common
0.99855​
0.99921​
0.77217​
0.79028​
0.64826​
0.68359​
Bronze
Rare
0.99958​
0.99921​
0.98011​
0.97200​
0.82463​
0.82149​
Bronze
Epic
0.76532​
0.77123​
0.77217​
0.79028​
0.60204​
0.59039​
Silver
Legendary
0.53537​
0.51232​
0.50370​
0.52170​
0.56634​
0.54787​
Gold
Mythic
~0​
~0​
~0​
~0​
0.02730​
0.03940​
Gold
Special*
0.50640​
0.51232​
0.50370​
0.52170​
0.06283​
0.07763​
Silver


So what should be your strat while opening boosters ?

In my opinion you should first open gold brains only, till all of the Mythic and Legendary cosmetics are unlocked
once that is done open Silver only, till all of the Epic cosmetics are unlocked
and finally open Bronze if any rare or common cosmetics are missing
You probably will never reach Bronze as you would have unlocked all the cosmetics by then
Yuu suggested adding brain washer info about 2 years ago in suggestions forums which is still pending
But as you can see its not really needed as mythic rank is only obtainable in Gold washer while legendary cosmetics have the same chance per brain in all washers
In anycase I still support adding brain washer info, hope it gets added soon


More Washer tips

Never use brains off season, its really easy to unlock all of the non-seasonal cosmetics but not seasonal ones
So save your brains and coins (which you can convert to brains) till you are few days into a holiday update
Then use up all of it till you have unlocked all of the seasonal ones and then wait till the next holiday
However, theres a problem with this method as max brain capacity is 350, and you most definitely overflow it at the end of month with clan reward
In this case use brains on gold washer (if you have non-seasonal mythic/legendary cosmetic left to unlock)
or on Bronze (If all of the non-seasonal cosmetics are unlocked)
Why Bronze ? Its because you get about 100 coins back everytime you get a cosmetic which you already own regardless of its rarity but you spend less on bronze

Feel free to reply here or on discord incase I have anything wrong anywhere
Many people will have this doubt if they are atleast average in maths
that why didnt I just multiple probabilties of Gold by 1, silver by 3.5/2 and bronze by 3.5 and then compare ?
Its because probabilities dont work like that
Think of a case where Washer A costing 20 brains has 100% chance of dropping legendary while Washer B costing 10 has 50% chance of dropping legendary
Now we can open washer B twice, but that doesnt mean we will have 50x2=100% chance of getting a legendary cosmetic
Incase you think my math is wrong, refer this cornell university paper
These values are calculated using trial and error so they may not be close to the actual ones
as ofcourse only the devs know those values
Here I have just tried my best using probability and statistics to get a best strat possible on those values
I will try to update them in future as I get more and more data especially on silver washers
Finally its the most wonderful time of the year

mw1bWid.png
tysm, very useful information by kaivalya
 

NearlyFired

Donator
Donator
Joined
August 21, 2021
Messages
54
Points
18
Age
20
8 months ago I started doing some finding of my own on minigame brain washers and here are my estimates on the washer drop chances

Gold Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
22.98851​
25%​
Rare
35.28736​
35%​
Epic
20.57471​
20%​
Legendary
18.85057​
18%​
Mythic
0.689655​
1%​
Special*
1.609195​
2%​

Silver Brain*
Rarity​
Drop chance​
Rounded drop chance​
Common
19.04761​
20%​
Rare
42.85714​
40%​
Epic
19.04761​
20%​
Legendary
9.52380​
10%​
Mythic
0⁺​
~0%​
Special*
9.52380​
10%​

Bronze Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
37.29508​
40%​
Rare
42.62295​
40%​
Epic
9.83606​
10%​
Legendary
5.32786​
5%​
Mythic
0⁺​
~0%​
Special*
4.91803​
5%​

* Dont know what the rarity is called but we get stuff like direct coins or brains from it
* Data used here wasnt much, so chances for silver might be off by quite a bit
⁺ Chance is too low to be acurately calculated



How these numbers affect your lootbox opening strat ?

Now that you have chances you can open washers depending upon rarity of ingame cosmetic you looking for.
So for example say you are looking for Statistic Kill Msg (the irony ik) which is a legendary cosmetic.
Legendary cosmetics have approximately 18%, 10% and 5% drop chance in gold, silver and bronze which cost 35, 20 and 10 brains respectively
Lets use this probabilities for an event where we are opening washers worth 140 brains i.e. 4 gold, 7 silver or 14 bronze ones
(why 140 ? with 140 brains we have integer values on number of attempts we getting)
Now we will calculate the odds of getting atleast one legendary cosmetic from 4 gold washers
Probability of getting legendary cosmetic from gold washer is 0.18 for one spin, that means probability of not getting legendary will be 0.82
We are spinning it 4 times, so probabilty of not getting legendary from all 4 spins will be 0.82⁴ = 0.4521
Therefore, chances of getting it atleast once in two spins will be 1-0.4521 = 0.5479
Similarly we can calculate this for Silver and Bronze which comes out to be 0.5217 and 0.5123
So this means even though very close Gold brain has highest probabilty of giving a legendary cosmetic


So I calculated chances for all the other rarities and we get this
Chance of getting a specific rarity cosmetic from a specific washer

Rarity​
Bronze
Bronze (R)
Silver
Silver (R)
Gold
Gold (R)
Best Brain Washer​
Common
0.99855​
0.99921​
0.77217​
0.79028​
0.64826​
0.68359​
Bronze
Rare
0.99958​
0.99921​
0.98011​
0.97200​
0.82463​
0.82149​
Bronze
Epic
0.76532​
0.77123​
0.77217​
0.79028​
0.60204​
0.59039​
Silver
Legendary
0.53537​
0.51232​
0.50370​
0.52170​
0.56634​
0.54787​
Gold
Mythic
~0​
~0​
~0​
~0​
0.02730​
0.03940​
Gold
Special*
0.50640​
0.51232​
0.50370​
0.52170​
0.06283​
0.07763​
Silver


So what should be your strat while opening boosters ?

In my opinion you should first open gold brains only, till all of the Mythic and Legendary cosmetics are unlocked
once that is done open Silver only, till all of the Epic cosmetics are unlocked
and finally open Bronze if any rare or common cosmetics are missing
You probably will never reach Bronze as you would have unlocked all the cosmetics by then
Yuu suggested adding brain washer info about 2 years ago in suggestions forums which is still pending
But as you can see its not really needed as mythic rank is only obtainable in Gold washer while legendary cosmetics have the same chance per brain in all washers
In anycase I still support adding brain washer info, hope it gets added soon


More Washer tips

Never use brains off season, its really easy to unlock all of the non-seasonal cosmetics but not seasonal ones
So save your brains and coins (which you can convert to brains) till you are few days into a holiday update
Then use up all of it till you have unlocked all of the seasonal ones and then wait till the next holiday
However, theres a problem with this method as max brain capacity is 350, and you most definitely overflow it at the end of month with clan reward
In this case use brains on gold washer (if you have non-seasonal mythic/legendary cosmetic left to unlock)
or on Bronze (If all of the non-seasonal cosmetics are unlocked)
Why Bronze ? Its because you get about 100 coins back everytime you get a cosmetic which you already own regardless of its rarity but you spend less on bronze

Feel free to reply here or on discord incase I have anything wrong anywhere
Many people will have this doubt if they are atleast average in maths
that why didnt I just multiple probabilties of Gold by 1, silver by 3.5/2 and bronze by 3.5 and then compare ?
Its because probabilities dont work like that
Think of a case where Washer A costing 20 brains has 100% chance of dropping legendary while Washer B costing 10 has 50% chance of dropping legendary
Now we can open washer B twice, but that doesnt mean we will have 50x2=100% chance of getting a legendary cosmetic
Incase you think my math is wrong, refer this cornell university paper
These values are calculated using trial and error so they may not be close to the actual ones
as ofcourse only the devs know those values
Here I have just tried my best using probability and statistics to get a best strat possible on those values
I will try to update them in future as I get more and more data especially on silver washers
Finally its the most wonderful time of the year

mw1bWid.png
Also good work with the maths, thank you for giving time for that <33
 

Tanish6969

Donator
Donator
Joined
May 24, 2022
Messages
541
Points
61
Age
24
i just got a mythical kill message (toxic kill message) in skywars from the 20 brains one i think
 

oumuchtop

Donator
Donator
Joined
August 18, 2020
Messages
144
Points
33
IGN
oumuchtop
Brain washer still bald,I cant get stats kill msgs for bw and toxic for sw😭
 

forgiobombi

Donator
Great Reporter
Donator
Joined
December 9, 2021
Messages
325
Points
74
8 months ago I started doing some finding of my own on minigame brain washers and here are my estimates on the washer drop chances

Gold Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
22.98851​
25%​
Rare
35.28736​
35%​
Epic
20.57471​
20%​
Legendary
18.85057​
18%​
Mythic
0.689655​
1%​
Special*
1.609195​
2%​

Silver Brain*
Rarity​
Drop chance​
Rounded drop chance​
Common
19.04761​
20%​
Rare
42.85714​
40%​
Epic
19.04761​
20%​
Legendary
9.52380​
10%​
Mythic
0⁺​
~0%​
Special*
9.52380​
10%​

Bronze Brain
Rarity​
Drop chance​
Rounded drop chance​
Common
37.29508​
40%​
Rare
42.62295​
40%​
Epic
9.83606​
10%​
Legendary
5.32786​
5%​
Mythic
0⁺​
~0%​
Special*
4.91803​
5%​

* Dont know what the rarity is called but we get stuff like direct coins or brains from it
* Data used here wasnt much, so chances for silver might be off by quite a bit
⁺ Chance is too low to be acurately calculated



How these numbers affect your lootbox opening strat ?

Now that you have chances you can open washers depending upon rarity of ingame cosmetic you looking for.
So for example say you are looking for Statistic Kill Msg (the irony ik) which is a legendary cosmetic.
Legendary cosmetics have approximately 18%, 10% and 5% drop chance in gold, silver and bronze which cost 35, 20 and 10 brains respectively
Lets use this probabilities for an event where we are opening washers worth 140 brains i.e. 4 gold, 7 silver or 14 bronze ones
(why 140 ? with 140 brains we have integer values on number of attempts we getting)
Now we will calculate the odds of getting atleast one legendary cosmetic from 4 gold washers
Probability of getting legendary cosmetic from gold washer is 0.18 for one spin, that means probability of not getting legendary will be 0.82
We are spinning it 4 times, so probabilty of not getting legendary from all 4 spins will be 0.82⁴ = 0.4521
Therefore, chances of getting it atleast once in two spins will be 1-0.4521 = 0.5479
Similarly we can calculate this for Silver and Bronze which comes out to be 0.5217 and 0.5123
So this means even though very close Gold brain has highest probabilty of giving a legendary cosmetic


So I calculated chances for all the other rarities and we get this
Chance of getting a specific rarity cosmetic from a specific washer

Rarity​
Bronze
Bronze (R)
Silver
Silver (R)
Gold
Gold (R)
Best Brain Washer​
Common
0.99855​
0.99921​
0.77217​
0.79028​
0.64826​
0.68359​
Bronze
Rare
0.99958​
0.99921​
0.98011​
0.97200​
0.82463​
0.82149​
Bronze
Epic
0.76532​
0.77123​
0.77217​
0.79028​
0.60204​
0.59039​
Silver
Legendary
0.53537​
0.51232​
0.50370​
0.52170​
0.56634​
0.54787​
Gold
Mythic
~0​
~0​
~0​
~0​
0.02730​
0.03940​
Gold
Special*
0.50640​
0.51232​
0.50370​
0.52170​
0.06283​
0.07763​
Silver


So what should be your strat while opening boosters ?

In my opinion you should first open gold brains only, till all of the Mythic and Legendary cosmetics are unlocked
once that is done open Silver only, till all of the Epic cosmetics are unlocked
and finally open Bronze if any rare or common cosmetics are missing
You probably will never reach Bronze as you would have unlocked all the cosmetics by then
Yuu suggested adding brain washer info about 2 years ago in suggestions forums which is still pending
But as you can see its not really needed as mythic rank is only obtainable in Gold washer while legendary cosmetics have the same chance per brain in all washers
In anycase I still support adding brain washer info, hope it gets added soon


More Washer tips

Never use brains off season, its really easy to unlock all of the non-seasonal cosmetics but not seasonal ones
So save your brains and coins (which you can convert to brains) till you are few days into a holiday update
Then use up all of it till you have unlocked all of the seasonal ones and then wait till the next holiday
However, theres a problem with this method as max brain capacity is 350, and you most definitely overflow it at the end of month with clan reward
In this case use brains on gold washer (if you have non-seasonal mythic/legendary cosmetic left to unlock)
or on Bronze (If all of the non-seasonal cosmetics are unlocked)
Why Bronze ? Its because you get about 100 coins back everytime you get a cosmetic which you already own regardless of its rarity but you spend less on bronze

Feel free to reply here or on discord incase I have anything wrong anywhere
Many people will have this doubt if they are atleast average in maths
that why didnt I just multiple probabilties of Gold by 1, silver by 3.5/2 and bronze by 3.5 and then compare ?
Its because probabilities dont work like that
Think of a case where Washer A costing 20 brains has 100% chance of dropping legendary while Washer B costing 10 has 50% chance of dropping legendary
Now we can open washer B twice, but that doesnt mean we will have 50x2=100% chance of getting a legendary cosmetic
Incase you think my math is wrong, refer this cornell university paper
These values are calculated using trial and error so they may not be close to the actual ones
as ofcourse only the devs know those values
Here I have just tried my best using probability and statistics to get a best strat possible on those values
I will try to update them in future as I get more and more data especially on silver washers
Finally its the most wonderful time of the year

mw1bWid.png
Hello kaivalya,

I believe that this post is very useful and has had some accurate research done into it, nice job.
 

alyan

Donator
Donator
Joined
February 14, 2022
Messages
586
Points
82
the amount of time you put into this is crazy, really helped, now I will spend brains on sliver for Static Kill Message
 
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