Okay, kiddo, let me explain to you what a quasiprobability distribution is. Imagine you have a bag full of marbles. Some marbles are red, and some are blue. You can reach in the bag and grab a marble, and it might be red or blue, right?
Now imagine you have a special kind of bag that's a bit weird. When you reach in and grab a marble, the bag starts to change. Sometimes it's as if the bag became two separate bags, each with different numbers of red and blue marbles. Other times, it's as if the bag turned into a bunch of little bags, each with different numbers of marbles. And sometimes, it's like the bag defies explanation altogether!
This special kind of bag is like a quantum system, and the marbles are like particles. In quantum mechanics, you can't always say for certain where a particle is or what color it is; instead, you have to describe its location and color using something called a probability distribution.
But this special bag changes the game. It makes it harder to predict what will happen when you reach in and grab a particle because the bag itself is changing all the time! So instead of a regular probability distribution, we use something called a QUASIpobability distribution to describe the state of the system.
Basically, a quasiprobability distribution is a way to describe the weirdness of quantum mechanics, and it helps us make predictions about what will happen in a system even when we can't be certain about the details.