My girlfriend has an exam in her international development class tomorrow. She's been given $60$ terms to study (each takes a long time to learn thoroughly). Of those $60$ terms, $10$ will be on the exam, and she must discuss $3$ of them. Now, she's been spending a lot of time trying to figure out the probability of knowing $x$ of the $3$ questions, time that could be spent studying.
Funnily enough, I actually have a probability and statistics for computer science final coming up next week and I have no idea how to figure out this probability. Given that she studied $n$ of $60$ terms, what is the probability that she will know (a) $0$, (b) $1$, (c) $2$, (d) $3$ of the $10$ terms that appear on the exam?