If I have a sequence of five symbols each taken from groups of three, I can simply make 3^5 (243) different sequences. In this case, I have a chance of 1/243 (0.4%) to get one exact sequence like ABCAC.
However, in my case the chance for each symbol varies: the chance for A is 10%, for B is 30% and for C is 60%. How do I calculate my chances to get the following sequence: "AABBB"?
