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# New Tokens with less RNG since it makes people feel good

Hadronic
Posts:

**338**Mover and Shaker
Alright, so after the great unhoarding thread and now this limiting cascades thread it seems there is a desire for less RNG.

So I cranked some numbers in my computer and came up with a new token. I had a few goals i was trying to acheive when picking the numbers.

After playing around with the numbers i found some values that satisfy all 3 of these conditions. Here we have a hybrid token (Hybrid between a binomial distribution and a vaulted distribution)

Increasing the odds after pull 8 like a 15 item vault creates the streak breaking mechanic, but at the same time it would shift the average up. In order to maintain the same average, the binomial distribution odds had to be lowered to 1/8 (currently 3/20).

Using this table, for the new token, I then generated the new distributions to compare to the current Legendary Tokens.

Blue curve - Current Legendary Tokens

Red curve - Hybrid Token

This plot clearly shows the streak breaker in action.

The PDF changes based on the number of total pulls (Similar to a Binomial Distibution) therefore I had to choose a specific value for N. I went with 300 since that is a common target for people opening giant hoards to cover 3 fives at a time.

The average is almost identical (45.08 which is a marginal improvement over 45) but the variance has dropped from 6.2 to a 4.5 producing a much taller and narrower spike.

Another thing to point out which isn't visible in the plot, but the red PDF actually goes to 0 below 20 (because of the streak breaker) but the blue cover has a non zero chance of pulling < 20 5* on 300 pulls.

There are other more complicated ways of accomplishing this but i went with this hybrid method cause both of these token types already exist in game, so presumably its easier to code.

So I cranked some numbers in my computer and came up with a new token. I had a few goals i was trying to acheive when picking the numbers.

- I wanted the average of the distribution to be the same as the current token (this is to appease the devs as it means they giving away same average number of rewards)

- I wanted the variance of the distribution to be narrower. Meaning everyone will be closer to the expected result on both sides. This is a double edged sword, while it means you're less likely to get burned, its simultaneously harder to get way ahead of the pack based purely on luck.

- I wanted streak breakers cause no one likes going 80 pulls in a row with no 5*

After playing around with the numbers i found some values that satisfy all 3 of these conditions. Here we have a hybrid token (Hybrid between a binomial distribution and a vaulted distribution)

Increasing the odds after pull 8 like a 15 item vault creates the streak breaking mechanic, but at the same time it would shift the average up. In order to maintain the same average, the binomial distribution odds had to be lowered to 1/8 (currently 3/20).

Using this table, for the new token, I then generated the new distributions to compare to the current Legendary Tokens.

Blue curve - Current Legendary Tokens

Red curve - Hybrid Token

This plot clearly shows the streak breaker in action.

The PDF changes based on the number of total pulls (Similar to a Binomial Distibution) therefore I had to choose a specific value for N. I went with 300 since that is a common target for people opening giant hoards to cover 3 fives at a time.

The average is almost identical (45.08 which is a marginal improvement over 45) but the variance has dropped from 6.2 to a 4.5 producing a much taller and narrower spike.

Another thing to point out which isn't visible in the plot, but the red PDF actually goes to 0 below 20 (because of the streak breaker) but the blue cover has a non zero chance of pulling < 20 5* on 300 pulls.

There are other more complicated ways of accomplishing this but i went with this hybrid method cause both of these token types already exist in game, so presumably its easier to code.

15

## Comments

7,854Chairperson of the Boards1,098Chairperson of the Boards243Tile Toppler1,361Chairperson of the Boards4,540Chairperson of the BoardsEither that or he's suggesting they replace the LT stores with 15 item vaults with 1 5* and 14 4*s.

Also I thought the actual odds were 15% (~1:7) not 12.5% (exactly 1:8)?

338Mover and Shaker2,024Chairperson of the Boards3,048Chairperson of the Boards1,199Chairperson of the Boardsthey will never implement what you recommend no matter how good an idea it is. This is probably a simple fact that the devs don't read these posts and Brigby doesn't relay these ideas back to them (probably because they already have future dev plans anyway and don't want to try ideas that aren't their own).What I do see is that they hear our complaints, but they come up with their own solutions. So, I've stopped trying to recommend specific improvements to the game. Correct me if I'm wrong, but have they ever implemented exactly what we recommend?

It's like this: we complain that we're hungry and ask them for an apple to eat; they hear our complaint and then give us a rice cake. It may help a little, but it's not what we wanted and not very fulfilling. We then figure out how to survive eating their rice cakes, but the complaining continues.

1,752Chairperson of the Boards338Mover and Shakera guaranteed 5 on a fifteen pull of getting fourteen straight 4s

2,024Chairperson of the Boards227Tile TopplerJust curious...

266Mover and ShakerAs far as meeting your goals though, yes, this proposed token looks solid.

474Mover and Shaker338Mover and ShakerAs crackninja states, a little RNG adds excitement. It's fun to beat the odds.

755Critical Contributor448Mover and ShakerIf you're playing optimally, I don't think you should be opening Legendaries until you have a solid stable of already championed 3* characters, because you shouldn't be trying to fly before you can run (or something like that). You also shouldn't be opening Legendaries unless you have the HP to roster someone new, but that's a given.

I get that you'd maybe rather not tie up a roster slot with a single-cover 5* for whom it may take you several months (if not

a lotlonger) to get another cover, but if you want to be able to doallof the Essential nodes in every PvE event, well, thisisMarvel Poke-Quest and you've gotta catch 'em all.That said, a PvP-focused player recently posted either here or on Reddit about their experience not only

notrostering any 5*s they pulled but soft-capping all of their 4*s, too. In doing so they developed a strong roster while still keeping their MMR in check and they were apparently having a relatively easy time in PvP as a result.That could be why someone may not want to roster any of the 5*s.

99Match Makerthanks for taking the time to post this Hadronic. Hopefully the devs see this and at least consider making a similar change.