[N5] Statistics for Special Dice

Discussion in 'Rules' started by Wizzy, Jan 9, 2025 at 7:22 PM.

  1. Wizzy

    Wizzy Well-Known Member

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    I saw these topics on reddit by z_munny.




    More special dice odds
    https://www.reddit.com/r/InfinityTheGame/comments/1hx3o2h/more_special_dice_odds/


    Before the vacations, I posted graphics showing how adding a special die increases the chances of hitting different BS target numbers. Here are a few more graphs to increase burst values. I've made them bar graphs this time for clarity.

    If you're interested in other combinations of identical dice - e.g. 2 regular dice + 2 special dice - simply consult the chart with the appropriate total number of dice. For example, in the above situation, you'd consult the “roll 4 dice” table, but then you'd know that you can only keep a maximum of two successes. The 2+ probability column on this table will be the same if you're hoping for two successes with 3 regular dice + 1 special dice or 2 regular dice + 2 special dice.

    [​IMG]
    [​IMG]
    [​IMG]
    [​IMG]

    If you're interested in other combinations of identical dice - for example, 2 regular dice + 2 special dice - simply consult the table with the appropriate total number of dice. For example, in the above situation, you'd consult the “roll 4 dice” table, but then you'd know that you can only keep a maximum of two successes. The 2+ probability column on this table will be the same if you're hoping for two successes with 3 regular dice + 1 special dice or 2 regular dice + 2 special dice.

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    SD effect (on only one roll)
    https://www.reddit.com/r/InfinityTh...p&utm_name=ioscss&utm_source=share&utm_term=1


    *x-axis. Sorry, my mistake. This is the BS score - mislabeled as BA �♂️

    The first page shows the probabilities on a single die roll versus a roll where you can add a single SD roll (the one where you remove a die after the roll).

    [​IMG]

    The second page shows how these probabilities differ in two ways. The difference shows the actual percentage compared with the direct throw. It's essentially a matter of making the original “odds line” in image 1 flat on the x-axis and showing the increase in SD on the blue arced line. Your chances of landing a 1 are 5% higher than in a direct throw. Your chances of landing a 10 are 25% higher.

    [​IMG]



    The improvement ratio shows to what extent the improvement is relative to the initial chance. Thus, a throw of 1 has a 5% chance of success, but a 10% chance with SD. Although still low, your chances have doubled: the odds have increased by 100%. With a BS of 10, you have a 50/50 chance, but a 75% chance with an additional SD throw. Your chances have improved by 50% (from the initial 50% chance).

    TLDR: SD dice really increase your chances in the intermediate field numbers typical of general BS throws, but are less likely to save you in the lower borderline cases despite the greater improvement ratio. Rolling two dice doesn't simply “double your chances”: it has a different effect depending on the target BS you need to reach.
     
    Quiet Professional likes this.
  2. xagroth

    xagroth Mournful Echo

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    So Gauss bell distribution?

    Also, the main change comes in the damage part, since now it is absolutely impossible to remove entirely an enemy piece in ARO aside from Neurocinetics on high potential (Yan Huo), fire-chain (continous damage) or Monofilament (well, aside from "soft kills" like IMM states or Sepsitorized), since you will save a single damage dice that, if critical, will at best add one dice to the roll, for an absolute total of 4 for the EXP weapons, which is not enough to remove Remote Presence TAGS at full health.
     
    Wizzy likes this.
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