Here is a light question:
Say that my professor says she will choose 12 definitions from a list of 40, and I will have to answer 7 of those 12 on a test. Say that I know 24 of the 40 possible definitions she will choose from. What is the probability that at least 7 of the definitions on the test will be from the 24 I know?
This is really the case for my History Final Today. It did spark my curiosity as to how the probability would be calculated. I know binomial coefficients are involved, but any insights towards a complete solution?