One can visualize this by drawing the "n" sample points on a line, which divides the line into "n" + 1 sections ("n" − 1 segments between samples, and 2 intervals going to infinity at both ends), and noting that "X""n"+1 has an equal chance of landing in any of these "n" + 1 sections. Thus one can also pick any "k" of these sections and give a "k"/("n" + 1) prediction interval (or set, if the sections are not consecutive). For instance, if "n" = 2, then the probability that "X"3 will land between the existing two observations is 1/3.