You got to love physics at smaller levels. While the math is daunting and the phenomenon is hard to understand, we need to know at least some basic things, like the uncertainty principle. that principle tells us that if you try to find the position of a particle you won’t be able to know exactly its velocity and vice-versa.
The formula is something like this:
dx * dp >= h/2 , h is Planck’s constant, dx is the position, dp is momentum and it means we can’t measure precisely both together.
The uncertainty principle, which Nick want to call as “randomness principle” is more about the fact that we will never be able to predict either position or momentum perfectly and also that if the chances of predicting one go up, the chances of predicting the other go down.