I know you may decide my question is off-topic but I will give it a try: I read this in a Facebook group, posted by a person who claims to be a mathematician.
In the US presidential elections, for a candidate to be elected president, he must receive 270 of the 538 electoral votes. What is the probability that no president is elected?
Although I am not very familiar with the electoral system in US, I replied to this guy that it is not a matter of probabilities, because the election of each elector is not a random event. We vote for them and the outcome depends on our vote.
Did I reply correctly, or there is some other approach which I am missing? Thank you very much!
If you are asking for the number of ways to get 269 electoral votes, see Generating Functions and the Electoral College, which is based on the apportionment from 2000 U.S. Census data and makes the simplifying assumption that Maine and Nebraska are winner-take-all.