Ability check probabilities

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====== Ability check probabilities ======

When rolling an ability check, there are two ways you can roll. You can either roll against a target difficulty, or you can roll against another character in an opposed roll. For both rolls, you roll the dice and count the number of 5's and 6's

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==== Against a difficulty ====
This table shows the percentage chance to hit a target difficulty 

^Dice Rolled^At least 1^At least 2^At least 3^At least 4^
^  4d6  |  80.3%  |  40.7%  |  11.1%  |  1.2%  |
^  5d6  |  86.8%  |  53.9%  |  21.0%  |  4.5%  |
^  6d6  |  91.2%  |  64.9%  |  32.0%  |  10.0%  |
^  7d6  |  94.2%  |  73.7%  |  42.9%  |  17.3%  |
^  8d6  |  96.1%  |  80.5%  |  53.2%  |  25.9%  |
^  9d6  |  97.4%  |  85.7%  |  62.3%  |  35.0%  |
^  10d6  |  98.3%  |  89.6%  |  70.1%  |  44.1%  |
^  11d6  |  98.8%  |  92.5%  |  76.6%  |  52.7%  |
^  12d6  |  99.2%  |  94.6%  |  81.9%  |  60.7%  |
^  13d6  |  99.5%  |  96.2%  |  86.1%  |  67.8%  |
^  14d6  |  99.7%  |  97.3%  |  89.5%  |  73.9%  |
^  15d6  |  99.8%  |  98.1%  |  92.1%  |  79.1%  |


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==== Against an opponent ====
This table allows you to know the **odds of the attacker winning** given any two combination of opposing dice rolls

^ ^  Defender\\ has 4d6  ^  5d6  ^ 6d6 ^  7d6  ^  8d6  ^  9d6  ^  10d6  ^  11d6  ^  12d6  ^
^  Attacker\\ has 4d6  ^    |     |     |     |     |     |     |     |
^  5d6  |    ^     |     |     |     |     |     |     |
^  6d6  |    |     ^     |     |     |     |     |     |
^  7d6  |    |     |     ^     |     |     |     |     |
^  8d6  |    |     |     |     ^     |     |     |     |
^  9d6  |    |     |     |     |     ^     |     |     |
^  10d6  |    |     |     |     |     |     ^     |     |
^  11d6  |    |     |     |     |     |     |     ^     |
^  12d6  |    |     |     |     |     |     |     ^     ^
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