Imagine that you and your friend want to get a snack from the kitchen, but you both want to go in without bumping into each other. So, I'll give you both a paper with a number on it, like a queue ticket at the grocery store. The first person in line gets paper number 1, and the second person in line gets paper number 2.
Now, you both stand at the door of the kitchen and hold up your paper numbers. Whoever has the lower number gets to enter first. After they enter, they give their paper number back to me, and I add 1 to the number before giving it to the other person. So, if the first person had paper number 1, they give it back to me and I give the second person paper number 2. Then, they can enter the kitchen and get their snack.
This is similar to how Lamport's Bakery Algorithm works. In a computer program, there might be multiple processes, or threads, trying to access the same resource at the same time, like a printer or a file. To prevent them from interfering with each other and causing errors, they need to take turns accessing the resource.
Lamport's Bakery Algorithm assigns each process a number, just like a queue ticket. The process with the lowest number gets to go first. When a process is done accessing the resource, it gives back its number and waits for the others to finish. The other processes take turns according to their assigned numbers, just like you and your friend took turns entering the kitchen according to your paper numbers.
Using this algorithm ensures that processes don't interfere with each other and take turns accessing the resource in a fair and orderly way.