A die is rolled until the first time that a six turns up. We shall see that the probability that this occurs on the [math]n[/math]th roll is [math](5/6)^{n-1}\cdot(1/6)[/math]. Using this fact, describe the appropriate infinite sample space and distribution function for the experiment of rolling a die until a six turns up for the first time. Verify that for your distribution function [math]\sum_{\omega} m(\omega) = 1[/math].