Of course that's a much simpler way to simulate the problem, but then you get people trying to argue that HT and TH should be collapsed into a single state. By

Of course that's a much simpler way to simulate the problem, but then you get people trying to argue that HT and TH should be collapsed into a single state. By using a simulation with repetition it's easier to pose the states as 'TT' and 'not TT' and use frequencies to show 'not TT' occurs more frequently than 'TT'. I find this starts to help convince people that the states shouldn't be collapsed, even if it doesn't explicitly explain why.