Okay, let me try to explain quantum probability like you are 5 years old! Imagine you have a toy box with lots of different toys inside. Now, when you reach in to grab a toy, you may think you know which one you are going to get - maybe you want to grab your favorite toy, a teddy bear. But, even though you might expect to grab a teddy bear, there is still a chance you could end up pulling out a different toy, like a train or a ball. That's kind of like quantum probability!
In the world of quantum mechanics, we deal with really small particles, like electrons and photons. Just like how you can't really predict which toy you will grab from your toy box, we can't really predict exactly what will happen when we interact with these tiny particles. Even if we set up an experiment to try and determine what will happen, there are still different outcomes that could occur. So, instead of saying something will definitely happen, we use probabilities to describe what could happen.
For example, let's say we want to figure out where an electron will be located after a certain amount of time. We can use quantum probability to predict the likelihood that the electron will be in certain areas, like near the nucleus of an atom or farther away. Even though we can't say for sure where the electron will be, we can say it's more likely to be in some areas than others.
It's kind of like playing a game of chance - you might have a higher chance of winning if you make certain moves or use certain strategies, but you can't say for sure you will win. In quantum mechanics, we use probability to describe the chances of different outcomes in experiments, and it helps us better understand how tiny particles work.