The thesis would consist that, although the probability of winning classical lotteries is near zero (typically between 0.0000007% in the case of Euromillions and 0.000003% in the case of national lotteries), people is willing to pay an excessive overprice because they are buying the right to dream about the possibility of winning.
so I believe that what we have here is something extraordinary that only lottery bettors only knows.
Yes that is right, mostly posibility is about "hope" and probability is about math and statistics and the real chances of winning. However if you just want the posibility, it is not realistic to think that you are ok with 1 in ten million. That is not really going to fly with yourself, because it is so low that there is not that "posibility" factor in there to make it worth.