Probability of Double Dice – Convolution

We have seen how the probability of double dice can be estimated by flipping and sliding the outcomes of the second die. Here is another example to illustrate the concept: this time, with two dice with different probabilities.

0.41 x 0.04 = 0.0164

0.25 x 0.04 + 0.41 x 0.12 = 0.0592

0.15 x 0.04 + 0.25 x 0.12 + 0.41 x 0.18 = 0.1098

Why X+Y in probability is a beautiful mess: 3Blue1Brown