The advantage and disadvantage of D20 systems like D&D is that every possible dice result has an equal (5%) chance of happening: this "variance" makes it easy for Dungeon Masters to quantify the difficulty of a challenge on the fly, but also leads to scenarios where player characters unexpectedly succeed at challenges seemingly beyond them or fail miserably at the easiest of tasks. ![]() If the sum of the dice and bonus matches or exceeds a pre-determined difficulty number (10 often representing average difficulty) the player's characters succeeds at their challenge, and fails if they roll under. ![]() In many roleplaying system, players resolve skill checks, attacks, and the like by rolling a single dice - a twenty-sided die in Dungeons & Dragons games - then adding a flat numerical bonus such as +3 or +5.
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