Marginal distribution

Let's say you have a box of crayons with different colors. You also have a bunch of pictures that are either colored or not colored.

The numbers and types of crayons you use to color each picture may be different. For example, you might use three different crayons to color in one picture and four different crayons to color in another picture.

The marginal distribution shows you how often each color crayon is used across all the pictures, regardless of how many crayons were used in each picture. It's like looking at a list of all the crayons in your box and how many times each one was used to color something.

So if you looked at the marginal distribution for red crayons, it would show you how many times a red crayon was used in total, regardless of how many other crayons were used at the same time. This helps you understand how popular certain colors are when coloring pictures.

Overall, marginal distribution is a way to see how often something occurs across a group of things, even if those things are different in some way. It's like looking at a big picture when you’re coloring with your crayons!