XYZ Inc Hires Only Retired People for Its Greeter's Job $\mathrm{D}$

Multiple Choice

XYZ Inc. hires only retired people for its greeter's job. They always start on January 1 and are considered for promotion every January 1st thereafter. On every January 1st, any existing greeter (state G) - those who were greeters last year - may be retired (state R) , may be dead (sate D) , may continue as a greeter (state G) , or may be promoted as greeter -in-chief (state GIC) . Persons in state GIC may continue in it or move to states $\mathrm{D}$ or $\mathrm{R}$ in one year. Using the data on transition matrix and using 1 year as the transition time, the probability of a greeter retiring eventually is the probability of a greeter being dead eventually. (Note: a person may retire and then die, and it will be still counted as retired)

A) greater than
B) less than
C) equal to
D) either greater or less but not equal