tmat = Uncompress[
"1:eJxTTMoPSuNjYGAoZgESPpnFJai8TCDNkMYEEuIAEkGJJZn5eYk5mYxATiYTHjkW\
AnJgg0kisDgMr+\
sIuQCfryh1GEGzCQYNNcKOilGJbjJlrqN2VBLpOsIxS5OopEbY0S4qKXQdjaOS/\
JilR1SSFXZ0i0pSXUffqCQhZgcgKon0/QBFJTkOo4gAGQwAi1ootQ=="];
mproc = DiscreteMarkovProcess[1, tmat];
fpd = FirstPassageTimeDistribution[mproc, Length@tmat];
RandomVariate[fpd]
Is met with:
10.3/Windows 7
Seems fine in 9.x/Windows.