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One notable consequence of this difference is that platforms with superior pseudo-random number generators may exhibit a higher likelihood of consecutive high rolls, such as consistently
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rolling the maximum value (e.g., rolling all 6's during an ability roll).
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This distinction becomes particularly evident when observing ability autorollers. With the original algorithm, the occurrence of ability roll totals surpassing 104 seems highly improbable, if
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not impossible. However, when running an autoroller for an extended period on a Linux system with a different algorithm, roll totals of 105 and 106 do occur.
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The provided table presents the probabilities of obtaining specific roll totals, along with their corresponding normalized and rounded relative probabilities. These relative probabilities serve
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to highlight the relative disparity between the likelihood of rolling one specific total compared to another. For example, if you roll 104, you can anticipate rolling 103 approximately 4.399 times
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on average. Of particular note is that the likelihood of rolling 105 should be only about 5.25 times less likely than 104.
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This distinction becomes particularly evident when observing ability autorollers. With the original algorithm, the occurrence of ability roll totals surpassing `104` seems highly improbable, if
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not impossible. However, when running an autoroller for an extended period on a Linux system with a different algorithm, roll totals of `105` and `106` do occur.
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The table below provides the probabilities of achieving certain roll totals, along with their normalized and rounded relative probabilities. These relative probabilities demonstrate the
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difference in likelihood between different roll totals. For instance, when rolling `104`, the average occurrence of rolling `103` is approximately `4.399` times. It is worth noting that, on
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average, there should be one occurrence of rolling `105` for every `5.250` rolls of `104`. Similarly, on average, there should be one occurrence of rolling `106` for every `153.999` rolls of
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`104`.
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|**Roll Total**|**Probability of Occurrence**|**Normalized to 103**|**Normalized to 104**|**Normalized to 105**|**Normalized to 106**|**Normalized to 107**|**Normalized to 108**|
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