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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.
Linked to this, the good thing is that the probability is so low that you can continue with your life and still have a little hope.
Imagine that the chances to become a millionaire were higher: your entire life would revolve around it. For example, if you managed to save 200k, wanted to retire early, and go all in for a 10x with a probability of 10% to win. Let's not fool ourselves: we would lose too, but in addition we couldn't make anything productive with our lives in the meantime.