Suppose you wake up in a universe which contains a total of 20 people. Ten
of them have been assigned numbers 0 to 9, and the other ten have been
assigned the number equal to the 100!-th digit in the decimal expansion of
PI. You are told your number but not anyone else's, and you are
asked to guess the 100!-th digit of PI. Assuming that you can't actually
compute that digit, it seems intuitive that your best guess would be your
own number.
My questions are (1) is this