Fubini's theorem for distributions

Okay kiddo, so have you ever looked at a puzzle? You know how you can sometimes put it together in different ways but it still looks the same? That's kind of like what Fubini's theorem for distributions is all about.

Now imagine that a puzzle is something called a "distribution." A distribution is just a fancy way of talking about how often something happens. For example, if we want to know how often it rains in a certain place, we can use a distribution to figure it out.

Fubini's theorem for distributions is like a special rule that we can use when we want to figure out how often two things happen at the same time. It's like trying to put two parts of the puzzle together.

So let's say we want to know how often it rains AND how often it's sunny in a certain place. We can use Fubini's theorem for distributions to figure out the answer.

We start by looking at how often it rains. Then we look at how often it's sunny. And then we use the special rule to put those two pieces of the puzzle together.

It might seem tricky, but Fubini's theorem for distributions is really just a way to help us solve problems by breaking them down into smaller pieces and then putting them back together again.