" and then pray hard [with all else being equal, keep in mind that chance also plays some role in these more-art-than-science type of admissions processes.] " I totally agree with you. Sometimes its sheer luck and nothing else to get into good grad programs. But before applying to any particular school, it doesn't harm to see what classes are offered there, who are the profs. andhow the program/school will help you achieve your academic and professional goals. Good Luck!