
I became curious about what the actual effects of Advantage (best of two) and Disadvantage (worst of two) are on d20 rolls, so I plotted out the possibilities: The 400 Rolls comes from the 20X20 matrix used for the Advantage/Disadvantage calculations, and gives an ideal distribution of 20 occurrences for each value when rolling a single die. The plot shows the relative likelihood of rolling a given number or better under the three conditions (I felt that this was the simplest way to show the effects). It is interesting to see how crippling Disadvantage is at the top end.