# Is a “random variable” still a random variable if it is predictable?

If X in P(X) is considered a random variable because it varies among the occurrence the particular scenario which it may occur (such rolling a number on a die), can we still call X a “random variable” if it’s technically predictable? (Such as if X were like “getting a face on a die when you roll a die” or “getting a 7 on a die when you roll a 6 sided die.”)

• We can treat any object that can be formally described by a distribution function as being a random variable. This holds even if the distribution function is degenerate. – Aaron Hendrickson Feb 27 at 15:54
• – kjetil b halvorsen Feb 27 at 16:06
• In the language of the "tickets in a box" metaphor at stats.stackexchange.com/a/54894/919, nothing says you can't write the same value on every ticket. That is, there is no mathematical, logical, or statistical reason to exclude random variables $X:\Omega\to\mathbb{R}$ that are constant functions. – whuber Feb 27 at 16:42