Ok so say I have 10 unique independent events (say, football games), with distinct probabilities of winning (say P=.1, .2, .3, ..., 1.0) and I want to figure out the chances of going 0-10, 1-9, 2-8, etc.

How would I do this, either manually or with excel?

It's simple enough (binomial distribution) if every event has the same probability, but I don't know how to really begin if each event has a unique probability.


Thanks!