Occasional reflections on Life, the World, and Mathematics

Likely probabilities


The BBC comments on Trump’s latest outrage:

The day after a video tape emerged in which he suggested he could have any woman he wants because he’s a star and so could just “grab them by the pussy”, Mr Trump is in a whole ocean of hot political water.

Enough, quite possibly, to sink any chance he had of winning the White House.

What does it mean to have “quite possibly” no chance? How does it differ from having quite likely a small chance? Or definitely a modest chance?

I suppose this could be describing a combination of an unknown state of facts that determine the probabilities for a random outcome. Imagine a bag of red and blue marbles, from which the election will be determined by picking a random one. (Red for Trump.) She is saying, “Quite possibly there are no red marbles left in the bag.” I’m don’t think that’s a good description of the situation, though. To the extent that Trump has a better chance of winning than you might think by looking at the polls or the near universal opprobrium he is exposed to, it doesn’t seem to me it’s on the basis of facts that are already determined but unknown.

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