PMF vs CDF — Fair Die 🎲

PMF shows the probability of each face (bars). CDF shows the cumulative probability up to a face (steps).

Number of rolls: Empirical

Show Theoretical overlay No rolls yet.

Bars = P(X = k). For a fair die, theoretical bars are all 1/6.

Steps = P(X ≤ k). For a fair die: 1/6, 2/6, …, 6/6.

How to read:

PMF: Each bar is the probability of one exact outcome (1..6). Bars don’t “add” horizontally—each bar stands for one value.
CDF: The step at k is the total probability up to k. Steps always climb and end at 1.
Toggle the Theoretical overlay to compare empirical (from your rolls) with the ideal fair die.