OK but intuitively it can’t make any difference whether SB is woken at a fixed or a random time of day, and it can’t make any difference whether there is a clock on the wall.
So the solution to the ‘random-waking, clock on wall variation’ must be the same as the solution of the original SB problem.
OK but intuitively it can’t make any difference whether SB is woken at a fixed or a random time of day, and it can’t make any difference whether there is a clock on the wall.
So the solution to the ‘random-waking, clock on wall variation’ must be the same as the solution of the original SB problem.
See this for a crisp, simple formalization which appears to show where the ambiguity between 1⁄2 and 1⁄3 comes from.