🔢Spin Detailed Mechanic

1. Assets

A Wonderspin can basically contain any asset available in Wonderbits - from food, resources, Bits, Islands, Bit Orbs, Terra Capsulators, other items and even in-game currencies (like BitBerries and diamonds).

Each Wonderspin will contain different combinations of assets and will not contain ALL assets, but there may be some Wonderspins which consist of a higher variety of assets and some which consist of only specific, selected assets (especially during special events).

Each asset will be given a tier based on its rarity relative to other assets within the Wonderspin itself. For instance, even a legendary Bit may be assigned as C tier if its value relative to the other assets’ values within the Wonderspin is lower.

a. Featured assets

Featured assets are highly sought-after assets (most often with relatively low probability) to be obtained from a Wonderspin. They are automatically assigned as A tier.

The chances to obtain a featured asset may also be heightened if the Wonderspin possesses a valid fortune peak threshold (see Probability Mechanics).

b. Amount

Each asset may contain a specific amount that the player will obtain upon rolling that particular asset. For example, a Wonderspin may contain 10x Asset A and 5x Asset B. If the player rolls Asset A, they will obtain 10 of Asset A. If not specified or otherwise, the asset will have an amount of 1.

2. Asset tiers

There are 3 available tiers for an asset within a Wonderspin:

• A tier (the highest rarity)

• B tier (high rarity)

• C tier (common rarity)

However, depending on the type of the Wonderspin (e.g. special event-related Wonderspins, limited edition Wonderspins, etc.), not all tiers may be present within the Wonderspin’s assets.

3. How to use

Each Wonderspin requires either a standard or premium ticket to spin it. There are multiple types of standard and premium tickets available on the store, and the exact type and amount of tickets required to spin once will be shown on each Wonderspin.

4. Probability Mechanics

a. Base Mechanics

Each Wonderspin guarantees that the player will obtain at least 1 asset from the available assets unless specified explicitly (e.g. if a Wonderspin with a small chance to obtain nothing exists).

Each asset has its own probability of being obtained from the spin, mostly depending on factors such as its rarity and relative value in-game; the higher the value of the asset, the rarer the chances to obtain it.

Each asset is ordered in a list, and the probability of each asset is then accumulated from the previous asset’s probability to make up its cumulative probability range.

For instance, let’s take 5 arbitrary assets named Asset A to Asset E with randomized probabilities as follows:

• Asset A - 40% chance

• Asset B - 25% chance

• Asset C - 25% chance

• Asset D - 8% chance

• Asset E - 2% chance

Based on the list above, a player will have a 40% chance to obtain Asset A, 25% chance to obtain Asset B and so on. The cumulative probabilities are then determined based on the order of the list:

• Asset A → 0 - 39

• Asset B → 40 - 64

• Asset C → 65 - 89

• Asset D → 90 - 97

• Asset E → 98 - 99

A dice is then rolled from 0 to 99. Whichever asset’s cumulative probability range lies within the dice’s rolled number will be the asset that the player obtains from the spin. The more precise the probabilities (e.g. 2.5%, 2.55% or 2.555%), the greater the dice roll range and cumulative probability ranges.

However, to ensure that players who are unlucky will eventually be able to roll at least one of the more sought-after (or higher rarity) assets, we’ve introduced the fortune event for Wonderspins.

More detailed information on required rolls and threshold resets until the next fortune event is also available in the respective fortune event sections.

b. Fortune Events

A fortune event happens when the probability of obtaining at least a B-tier asset increases based on the amount of rolls the player has for a particular Wonderspin. Not all Wonderspins may have a fortune event available.

A fortune event is divided into 4 categories:

• Fortune Peak

• Fortune Blessing

• Fortune Surge

• Fortune Crest

i. Fortune Peak (Guaranteed Featured)

A fortune peak is a type of fortune event that happens when a player is guaranteed a featured asset from a Wonderspin.

This means that the cumulative probability of any other assets (non-featured A-tier assets, B-tier assets and C-tier assets) within the Wonderspin is reduced to 0%, while the cumulative probability of obtaining any featured asset is increased to 100%.

A Wonderspin with a fortune peak threshold $T_{fp}$ requires the player to roll the spin $T_{fp}$ - 1 amount of times without having obtained a featured asset such that the next spin will guarantee the player a featured asset.

If a Wonderspin has more than 1 featured asset, the chances to obtain each featured asset will be modified based on its base probabilities, but the chance to obtain ANY ONE of them is still 100%.

For instance, say a Wonderspin contains 3 featured assets: Featured Asset A, B and C. The base probabilities of obtaining each of them (relative to all the other assets when they were still obtainable pre-Fortune Peak event) are:

• Featured Asset A - 0.05%

• Featured Asset B - 0.03%

• Featured Asset C - 0.02%

Because of the Fortune Peak event, the player is guaranteed to obtain either Featured Asset A, B or C. Therefore, the chances of obtaining either one of them are now updated to:

• Featured Asset A → 50%

  $A\ =\ \frac{0.05}{0.05\ +\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 50\%$

• Featured Asset B → 30%

  $B\ =\ \frac{0.03}{0.05\ +\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 30\%$

• Featured Asset C → 20%

  $C\ =\ \frac{0.02}{0.05\ +\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 20\%$

Upon rolling a featured asset during a fortune peak event, three things will happen:

• The number of rolls required to reach the next fortune peak event will be reset to its threshold.

• The number of rolls required to reach the fortune blessing event (if applicable) will be reset to its threshold.

• The number of rolls required to reach the fortune surge event (if applicable) will be reset to its threshold.

ii. Fortune Blessing (Hitting Pity)

A fortune blessing is a type of fortune event that happens when a player is guaranteed an A-tier asset from a Wonderspin.

This means that the cumulative probability of any other assets (B tier and C tier assets) within the Wonderspin is reduced to 0%, while the cumulative probability of obtaining an A tier asset (both featured, if any, and non-featured) is increased to 100%.

A Wonderspin with a fortune blessing threshold $T_{fb}$ **requires the player to roll the spin $T_{fb}$ - 1 amount of times without having obtained an A-tier asset such that the next spin will guarantee the player an A-tier asset.

The modified probability follows the same logic with the Fortune peak event; say a Wonderspin contains 5 A tier assets, 3 of which are featured (using the same probability values as the ones used in the Fortune peak event example; the other 2 non-featured ones have randomized probabilities):

• Asset X - 1%

• Asset Y - 0.5%

• Featured Asset A - 0.05%

• Featured Asset B - 0.03%

• Featured Asset C - 0.02%

Because of the fortune blessing event, the player is guaranteed to obtain either Asset X, Asset Y Featured Asset A, Featured Asset B or Featured Asset C. Therefore, the chances of obtaining either one of them are now updated to:

• Asset X → 62.5%

  $X\ =\ \frac{1}{1\ +\ 0.5\ +\ 0.05+\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 62.5\%$

• Asset Y → 31.25%

  $Y\ =\ \frac{0.5}{1\ +\ 0.5\ +\ 0.05+\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 31.25\%$

• Featured Asset A → 3.125%

  $A\ =\ \frac{0.05}{1\ +\ 0.5\ +\ 0.05+\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 3.125\%$

• Featured Asset B → 1.875%

  $B\ =\ \frac{0.03}{1\ +\ 0.5\ +\ 0.05+\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 1.875\%$

• Featured Asset C → 1.25%

  $C\ =\ \frac{0.02}{1\ +\ 0.5\ +\ 0.05+\ 0.03\ +\ 0.02}\cdot\ 100\ =\ 1.25\%$

Upon rolling an A-tier asset during a fortune blessing event, these things will happen:

• If the obtained asset is featured, then the number of rolls required to reach the fortune peak event (if applicable) will be reset back to its threshold. Otherwise, it will be reduced by 1.

• The number of rolls required to reach the next fortune blessing event will be reset to its threshold.

• The number of rolls required to reach the fortune surge event (if applicable) will be reset to its threshold.

iii. Fortune Surge (helper event)

A fortune surge is a type of fortune event that happens when the probability of obtaining an A-tier asset starts increasing but doesn’t guarantee to obtain one.

A fortune surge event is moreso a helper fortune event as it can also coexist alongside a fortune crest event or as a standalone fortune event during normal rolls as it doesn’t guarantee a specific tiered asset unlike its peers (fortune peak, fortune blessing or fortune crest).

When a fortune surge event happens by itself (on normal rolls), the cumulative probability of obtaining an A tier asset is increased by a certain percentage, and the cumulative probability of obtaining either a B or C tier asset is decreased by the same percentage.

When a fortune surge event happens alongside a fortune crest event, firstly, due to the fortune crest event, the cumulative probability of obtaining a C-tier asset is reduced to 0% (as the player is guaranteed at least a B-tier asset; for more information, see the fortune surge section). The fortune surge event then increases the cumulative probability of obtaining an A tier asset by a certain percentage, and the cumulative probability of obtaining a B tier asset is decreased by the same percentage. With the cumulative probability of obtaining a C-tier asset being 0%, the weighted probability increases and decreases of both A and B-tier assets are impacted with greater effect.

A Wonderspin with a fortune surge threshold $T_{fs}$ **MUST also have a fortune blessing threshold $T_{fb}$, where the player is required to roll the spin $T_{fb}$ - 1 amount of times without having obtained an A tier asset such that the next spin triggers the fortune surge event, and from the $T_{fs}$th to the$T_{fb}$th roll, the probability of obtaining an A tier asset linearly increases until it reaches 100% on the $T_{fb}$th roll as it triggers the fortune blessing event (which guarantees the user an A tier asset).

For each roll starting from $T_{fs}$ up until $T_{fb}$, the probability of obtaining an A-tier asset is calculated with the following formula:

$$ FPa\ =\ BPa\ +\ \left(\frac{\left(100\ -\ BPa\right)\ \cdot\ R_{curr}}{T_{fb}\ -\ T_{fs}}\right) $$

Where:

• $FPa$ is the fortune surged cumulative probability percentage of obtaining an A-tier asset

• $BPa$ is the base cumulative probability percentage of obtaining an A-tier asset

• $R_{curr}$ is the current roll count after the fortune surge event was triggered (i.e. how many rolls after the $T_{fs}$th roll)

• $T_{fs}$ is the fortune surge threshold

• $T_{fb}$ is the fortune blessing threshold

To illustrate how this formula works, we will assume that the fortune surge event happens on a normal roll, meaning that the player can still obtain a C-tier asset (for the formula of a fortune surge event happening alongside a fortune crest event, see the fortune crest section). Say a Wonderspin has a fortune surge threshold of 40, a fortune blessing threshold of 50 and contains the following assets with randomized tiers and probabilities:

• Asset A - A tier, 1% chance

• Asset B - A tier, 0.5% chance

• Featured Asset C - A tier, 0.05% chance

• Asset D - B tier, 10% chance

• Asset E - B tier, 10% chance

• Asset F - C tier, 78.45% chance

Let’s say the player has not been able to pull any A-tier asset from the Wonderspin within the past 39 rolls. On roll 40, the fortune surge event is triggered, and the new probability of obtaining an A-tier asset will use the formula above. Firstly, let’s come up with the values of the variables used within the formula:

• $BPa$ is calculated by summing up the cumulative probabilities of all A-tier assets and then dividing it by the cumulative probabilities of all assets (A, B and C tier), resulting in 1.55:

  $BPa \ = \ \frac{100 \ + \ 50 \ + \ 5 }{100 \ + \ 50 \ + \ 5 \ + 1000 \ + 1000 \ + \ 7845} \ \cdot \ 100 \ = 1.55$

• $R_{curr}$ is just equal to 1, because this will be the first roll since the fortune surge event was triggered

• $x$ is equal to 40

• $y$ is equal to 50

Therefore, the new surged probability of obtaining an A-tier asset is:

$$ FPa\ =\ 1.55\ +\ \left(\frac{\left(100\ -\ 1.55\right)\ \cdot\ 1}{50\ -\ 40}\right) \ = 11.395 \% $$

On roll 40 (or roll 1 since the fortune surge event), the cumulative probability of obtaining an A-tier asset, $FPa$, is now increased from 1.55% to 11.395%. To calculate the new cumulative probability of obtaining a B and C-tier asset ($FPb$ and $FPc$) respectively, both their base probabilities and a separate formula are required. The base probability of obtaining a B-tier asset, $BPb$, is 20. The base probability of obtaining a C-tier asset, $BPc$, is 78.45. The formulae and values for $FPb$ and $FPc$ are as follows:

$FPb \ = \ BPb\ -\ \left(\frac{BPb\ \cdot\ \left(FPa\ -\ BPa\right)}{BPb\ +\ BPc}\right) \ = \ 20\ -\ \left(\frac{20\ \cdot\ \left(11.395\ -\ 1.55\right)}{20\ +\ 78.45}\right) \ = \ 18\%$

$FPc \ = \ BPc-\ \left(\frac{BPc\ \cdot\ \left(FPa\ -\ BPa\right)}{BPb\ +\ BPc}\right) \ = 78.45-\left(\frac{78.45\ \cdot\ \left(11.395\ -\ 1.55\right)}{20\ +\ 78.45}\right) \ = 70.605\%$

$FPb$ is at 18% (a decrease from the $BPb$ of 20%), and $FPc$ is 70.605% (a decrease from the $BPc$ of 78.45%).

On roll 41 (or roll 2 since the fortune surge event), using the same fortune surge formula (and replacing 1 with 2), $FPa$ is increased again from 11.395% to 21.24%. With the same cumulative probability formula for $FPb$ and $FPc$, $FPb$ is now further decreased to 16%, and $FPc$ is now further decreased to 62.76%.

On roll 49 (or roll 9 since the fortune surge event), $FPa$ is increased all the way to 90.155%. This means that both $FPb$ and $FPc$ stand at 2% and 7.845% respectively. If a player is unlucky enough at this point to not roll an A-tier asset even with a 90.155% chance, the next roll (roll 50) will trigger a fortune blessing event anyway, guaranteeing the player an A-tier asset at last.

Upon rolling an A-tier asset, these things will happen:

• If the player manages to roll a featured asset, then the number of rolls required to reach the fortune peak event (if applicable) will be reset back to its threshold. Otherwise, it will be decreased by 1.

• The number of rolls required to reach the fortune blessing event will be reset to its threshold.

• The number of rolls required to reach the fortune surge event will be reset to its threshold.

Upon rolling a B-tier asset, these things will happen:

• The amount of rolls required to reach the fortune peak event (if applicable) will be reduced by 1.

• The amount of rolls required to reach the fortune blessing event (if applicable) will be reduced by 1.

• If a fortune surge event is currently taking place as well, the next roll’s $R_{curr}$ will be incremented by 1. Otherwise, the amount of rolls required to reach a fortune surge event (if applicable) is reduced by 1.

• The number of rolls required to reach the next fortune crest event will be reset to its threshold.

Upon rolling a C-tier asset, these things will happen:

• The amount of rolls required to reach the fortune peak event (if applicable) will be reduced by 1.

• The amount of rolls required to reach the fortune blessing event (if applicable) will be reduced by 1.

• If a fortune surge event is currently taking place as well, the next roll’s $R_{curr}$ will be incremented by 1. Otherwise, the amount of rolls required to reach a fortune surge event (if applicable) is reduced by 1.

• The amount of rolls required to reach the next fortune crest event (if applicable) will be reduced by 1.

iv. Fortune Crest

A fortune crest is a type of fortune event that happens when a player is guaranteed at least a B-tier asset.

This means that the cumulative probability of obtaining a C-tier asset is reduced to 0%, while the cumulative probability of obtaining either an A or a B-tier asset is increased to 100%.

A Wonderspin with a fortune crest threshold $T_{fc}$ requires the player to roll the spin $T_{fc}$ - 1 amount of times without having obtained a B-tier asset such that the next spin will guarantee the player at least a B-tier asset. Obtaining an A-tier asset will not reset the rolls required back to the fortune crest threshold.

Although the player is guaranteed to obtain at least a B-tier asset, the probability of obtaining an A-tier asset from a fortune crest event can be increased higher if the Wonderspin also has a valid fortune surge threshold and the player has rolled enough times to trigger the event, meaning that the player is now undergoing both a fortune surge and a fortune crest event at the same time.

Let’s use the Wonderspin from the fortune surge example (with a fortune surge threshold of 40 and a fortune blessing threshold of 50):

• Asset A - A tier, 1% chance

• Asset B - A tier, 0.5% chance

• Featured Asset C - A tier, 0.05% chance

• Asset D - B tier, 10% chance

• Asset E - B tier, 10% chance

• Asset F - C tier, 78.45% chance

On a normal fortune crest event (without a fortune surge), the cumulative probability of obtaining a C-tier asset is reduced from 78.45% all the way to 0%. This means that the cumulative probability of obtaining a B-tier asset is increased from 20% to $\frac{10+10}{1+0.5+0.05+10+10}\cdot100 \ \approx 92.8 \%$, meaning that the cumulative probability of obtaining an A-tier asset is also increased from 1.55% to roughly 7.2%.

However, if the fortune crest event also happens during the same time as a fortune surge, the cumulative probability of obtaining an A tier asset will be increased further on this roll. Let’s take a look at the surged probabilities on different surge rolls using the same formula used in the fortune surge event.

If this roll is the first roll since the fortune surge (meaning that both fortune crest and fortune surge coincidentally got triggered on the same roll), then the variables used within the formula are determined as follows:

• $BPa$ is 7.2 instead of 1.55 because the fortune surge is happening at the same time as a fortune crest event, which excludes the base cumulative probability of obtaining a C-tier asset

• $R_{curr}$ is just equal to 1, because this will be the first roll since the fortune surge event was triggered

• $x$ is equal to 40

• $y$ is equal to 50

Therefore, the surged probability of obtaining an A-tier asset $FPa$ on roll 1 of a combined fortune crest and fortune surge event with this Wonderspin is 16.48%:

$$ FPa\ =\ 7.2\ +\ \left(\frac{\left(100\ -\ 7.2\right)\ \cdot\ 1}{50\ -\ 40}\right) \ = 16.48 \% $$

Because the player is currently experiencing both a fortune crest and a fortune surge event at the same time, the player is guaranteed to obtain at least a B-tier or an A-tier asset, which means that:

• If the player obtains a B-tier asset within this roll, the fortune crest event will end while the fortune surge event continues (because an A-tier asset has not yet been obtained). The exact surged probability formula of obtaining an A-tier asset $FPa$ used on the next roll will then be determined based on whether the next roll is a fortune peak roll, fortune blessing roll or a non-fortune event roll (i.e. normal roll).

• If the player obtains an A-tier asset within this roll, the fortune surge event will end while the fortune crest event continues (because an A-tier asset was obtained but a B-tier asset has not yet been obtained). This means that the probability of obtaining an A-tier asset on the next roll will go back to the base probability of obtaining an A-tier asset during a fortune crest event ($BPa$, 1.55%).

Fortune crest events only get concluded when a player obtains a B-tier asset, meaning that obtaining an A-tier asset does not reset the rolls required to trigger a fortune crest event despite A-tier assets being more valued/rare. Consequently, this means that the next roll will still guarantee the player at least a B-tier asset. If the player manages to obtain another A-tier asset on the next roll, the next roll after that will still be a fortune crest event, which guarantees the player at least a B-tier asset again.

Upon rolling an A-tier asset, these things will happen:

• If the player manages to roll a featured asset, then the number of rolls required to reach the fortune peak event (if applicable) will be reset back to its threshold. Otherwise, it will be decreased by 1.

• The number of rolls required to reach the fortune blessing event will be reset to its threshold.

• The number of rolls required to reach the fortune surge event will be reset to its threshold.

Upon rolling a B-tier asset, these things will happen:

• The amount of rolls required to reach the fortune peak event (if applicable) will be reduced by 1.

• The amount of rolls required to reach the fortune blessing event (if applicable) will be reduced by 1.

• If a fortune surge event is currently taking place as well, the next roll’s $R_{curr}$ will be incremented by 1. Otherwise, the amount of rolls required to reach a fortune surge event (if applicable) is reduced by 1.

• The number of rolls required to reach the next fortune crest event will be reset to its threshold.

c. Fortune event clashing

In cases where the current roll triggers one or more fortune events, the higher valued event takes priority (i.e. fortune peak first, then fortune blessing, then fortune crest; fortune surge is invalid here because it’s a helper fortune event that can coexist alongside a fortune crest event).

Let’s use the following examples:

• On Roll 40, the player triggers both fortune peak and fortune blessing events. Because the fortune peak event is valued higher, it will override the fortune blessing event. Hence, the player will only experience a fortune peak event, obtaining a guaranteed featured asset from the roll. This will also reset the rolls required until the next fortune blessing event because a featured asset is also an A-tier asset (see the fortune peak section for more details).

• On Roll 40, the player triggers both fortune blessing and fortune crest events. Because the fortune blessing is valued higher, it will override the fortune crest event. Hence, the player will only experience a fortune blessing event, obtaining a guaranteed A-tier asset from the roll. However, because the player didn’t obtain a B tier asset, the rolls required until the next fortune crest event do not reset, meaning that the next roll will guarantee the player a fortune crest event and consequently at least a B tier asset (if no other fortune event gets triggered simultaneously, in which case if it does, the higher valued event overrule will take place).

• On Roll 40, the player triggers both fortune peak and fortune crest events. Because the fortune peak is valued higher, it will override the fortune crest event. Hence, the player will only experience a fortune peak event, obtaining a guaranteed featured asset from the roll. Just like the previous scenario, because the player didn’t obtain a B tier asset, the rolls required until the next fortune crest event do not reset, meaning that the next roll will guarantee the player a fortune crest event and consequently at least a B tier asset (if no other fortune event gets triggered simultaneously, in which case if it does, the higher valued event overrule will take place).