Mathematics
Probability Spaces and Random Variables
Quick fact
A random variable is not a variable in the usual sense—it is a function that maps each outcome in a probability space to a real number. This allows us to compute probabilities like P(X ≤ x) for any value x, which is the basis for all distribution functions.
Why this is interesting
Roll a die, guess a probability, or predict the stock market—probability is everywhere. But what does it mean to formally assign a probability to an event, and how do we turn a random outcome into a number we can analyze?