we’re more surprised when we see the former than the latter
I don’t think this is actually true. If MileyCyrus successfully predicted the exact sequence of coinflips HTHTTHTHTTTHHTH, wouldn’t you be more surprised than if it were HHHHHHHHHHHHHHH?
Of course. When I said “we’re more surprised” I was referring to the typical person who hasn’t read this discussion thread. In the absence of the above prediction, I would be far more surprised to see HHHHHHHHHHHHHHH than HTHTTHTHTTTHHTH. Once the prediction is made, I become extremely surprised if either sequence appears, but somewhat more surprised by HTHTTHTHTTTHHTH.
Oh, I see. In the case of the typical person, the answer is even easier: Lack of understanding of the conjunction rule of probability. HTHTTHTHTTTHHTH feels more representative of a random series of coin flips, so it is intuitively judged as more probable than HHHHHHHHHHHHHHH.
I don’t think this is actually true. If MileyCyrus successfully predicted the exact sequence of coinflips HTHTTHTHTTTHHTH, wouldn’t you be more surprised than if it were HHHHHHHHHHHHHHH?
Of course. When I said “we’re more surprised” I was referring to the typical person who hasn’t read this discussion thread. In the absence of the above prediction, I would be far more surprised to see HHHHHHHHHHHHHHH than HTHTTHTHTTTHHTH. Once the prediction is made, I become extremely surprised if either sequence appears, but somewhat more surprised by HTHTTHTHTTTHHTH.
Oh, I see. In the case of the typical person, the answer is even easier: Lack of understanding of the conjunction rule of probability. HTHTTHTHTTTHHTH feels more representative of a random series of coin flips, so it is intuitively judged as more probable than HHHHHHHHHHHHHHH.