Pascal's pyramid

Okay kiddo, let's talk about Pascal's pyramid. Imagine you have a triangle made up of numbers like this:

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1

This is called Pascal's Triangle. Now, let's take each number in the triangle and stack them one on top of the other, making a pyramid shape. The top number is still 1, and the second layer has two 1's, just like in the triangle. But now we have a third layer: 1, 2, and 1. This is because the number in the third row of the triangle is the sum of the two numbers directly above it. So 1+1=2, and that's why we have a 2 in the pyramid. The same thing goes for the rest of the numbers in the pyramid.

Now the cool thing is, we can keep going and make an even bigger pyramid. Each layer of the pyramid will be created by the row of numbers in Pascal's Triangle that corresponds to it. So the fourth layer will be made up of the numbers in row 4 of the triangle: 1, 3, 3, and 1. And, as before, each number in the pyramid will be the sum of the two numbers directly above it.

Pascal's Pyramid shows us a cool pattern in numbers that can help us calculate things like probabilities, combinations, and more. And now you know about it, just like a big kid!