Mathematics
Discrete vs Continuous Distributions
Quick fact
If you roll a fair six-sided die, the probability of getting exactly 3.5 is zero—that's because the distribution is discrete. For a continuous variable like temperature, the probability of any exact value is also zero; probabilities only make sense for intervals.
Why this is interesting
Why are some random outcomes, like the number of cars passing by, always whole numbers, while others, like your exact height, can be any value? This distinction defines the two fundamental types of probability distributions.