A Window of Rolls Until the First Six

A fair six-sided die is rolled over and over until a $6$ appears for the first time. Let $K$ be the number of rolls this takes.

$K$ is a discrete random variable with the countably infinite range $\{1, 2, 3, \dots\}$, and the rolls are independent.

What is $P(2 < K \le 5)$ — the probability that the first $6$ takes more than two rolls but at most five?

Give your answer as a decimal probability, rounded to 3 decimal places.