Mathematics
Probability Density Function
Quick fact
A probability density function can take values greater than 1 — for example, a uniform distribution on the interval [0, 0.5] has a constant density of 2.
Why this is interesting
If you roll a fair six-sided die, each face has a probability of 1/6. But what if you spin a wheel that can stop at any angle from 0 to 360 degrees? How can we talk about the probability of landing at exactly 90.000... degrees?