Pavel,
I am still thinking of ways we could potentially try jackalgirl's idea.
I understand that her suggested protocol would be like a roulette wheel. Red comes up four times in a row, and you start thinking you should bet on black because eventually it will turn. But of course, technically, black would never HAVE to come up.
What if the protocol was designed so the answer didn't have to be a "final" answer at the moment you looked at it?
For instance, what if you were given a stack of twenty envelopes (14 would contain the same photograph, 6 would contain blank photo paper) and you were permitted an hour, or even an hour and a half, to sort through the photos as many times as you wanted and divide them into piles of photographs and piles of photo paper? We could not open the envelopes as you went, but you could hold each one as many times as you wanted to ensure that you were not seeing "photo" just because you had gotten five "blank" in a row.
We could even number the envelopes and give you a piece of paper to make notes - so you could write "I am positive" next to number 5, and "I am not sure" next to number 16 and then later go back to 16 until you *were* sure.
Can you try self-testing this way? Have someone else stuff the envelopes and give it a shot.
-- Remie
I am still thinking of ways we could potentially try jackalgirl's idea.
I understand that her suggested protocol would be like a roulette wheel. Red comes up four times in a row, and you start thinking you should bet on black because eventually it will turn. But of course, technically, black would never HAVE to come up.
What if the protocol was designed so the answer didn't have to be a "final" answer at the moment you looked at it?
For instance, what if you were given a stack of twenty envelopes (14 would contain the same photograph, 6 would contain blank photo paper) and you were permitted an hour, or even an hour and a half, to sort through the photos as many times as you wanted and divide them into piles of photographs and piles of photo paper? We could not open the envelopes as you went, but you could hold each one as many times as you wanted to ensure that you were not seeing "photo" just because you had gotten five "blank" in a row.
We could even number the envelopes and give you a piece of paper to make notes - so you could write "I am positive" next to number 5, and "I am not sure" next to number 16 and then later go back to 16 until you *were* sure.
Can you try self-testing this way? Have someone else stuff the envelopes and give it a shot.
-- Remie
