Therefore, the event $ z \geq 100 $ has probability zero.

Sat, 02 May 2026 18:16:13 +0000

Why the Event $ z \\geq 100 $ Has Probability Zero: A Simple Explanation In probability theory, understanding the likelihood of specific events is crucial for modeling and decision-making in fields ranging from finance to engineering. One common question is: What is the probability that a continuous random variable $ Z $ exceeds a large value, such as $ z \\geq 100 $? The intuitive answer is often “zero” — but what does this really mean? This article explains why the event $ z \\geq 100 $ has probability zero, grounded in the fundamentals of continuous probability distributions. --- ### Understanding Continuous Random Variables