Miyu is giving out $8$ identical chocolates to her $5$ friends, including Dhruv. All possible distributions are equally likely. What is the probability that Dhruv gets exactly $7$ chocolates?
4 possibilities where Dhruv gets exactly 7 chocolates (each of the other 4 friends can get one) out of the 12C4 total distributions (stars and bars) means the probability is 4/495.