"That's because we're considering results like HHHTHH or TTTTTT to be equally or more extreme, and there are 14 total possible cases like that."
It is not evident for me, because I am not familiar with statistics. I think where is a need to provide calculation, that there is two examples in form TTTTTT and HHHHHH and 6*2 like HTHHHH or HTTTTT.
"We only ran the 2012 US Presidential Election one time, but that doesn't mean that on November 7th you should've refused a 10betthatpaidout1000 if Obama won."
First of all, as non American I do not know what is specific about November 7th. Second, I think that some people may do not even know, that Obama has actually won.