1. I flip a fair coin. I peek at the result without showing you. It is
heads. What is the probability that the coin came up heads?

2. While you sleep I plan to make 5 atom for atom identical copies of you
in different rooms. Then I will roll a die and pick one of the six still
sleeping copies to kill instantly. Knowing this, what is your subjective
probability that you will wake up in the same room?

3. (Bostrom's simulation argument). There is a 1% chance that sometime in
the next billion years that we will create a computer simulation of the
present day world and run a million copies of it. What is the probability
that we are living in a simulation?

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Artificial General Intelligence List: AGI
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