Originally Posted by

**acls2012** I apologize for my obtuse wording. Perhaps I can restate my question. A class consists of 150 students. Each student is supposed to select a number 1 to 150. Beginning with the first student. After that particular student picks a number, the number is removed from the pool (analogous to your name and hat scenario). Assuming that each student makes a decision in their head about which number they would like, what is the probability that a given student will be able to select their number when it is their turn to select? The selection process itself is not dependent on chance. If John wants number 32 and 32 is available in the pot he will pick that number but its possible that another student before him also wanted that number, so it has already been removed