Everyone knows he six-boxes (many worlds interpretation, choosing 3 boxes then switching and not switching).
Technically, that would be eight-boxing. (Or 24 if you let the prize be in any box). I’ll explain:
Let’s say the prize is in box A. So the eight options are:
{EY picks box A, host opens box B, EY switches}
{EY picks box A, host opens box B, EY doesn’t switch}
{EY picks box A, host opens box C, EY switches}
{EY picks box A, host opens box C, EY doesn’t switch}
{EY picks box B, host opens box C, EY switches}
{EY picks box B, host opens box C, EY doesn’t switch}
{EY picks box C, host opens box B, EY switches}
{EY picks box C, host opens box B, EY doesn’t switch}
By symmetry, there are eight options for whichever box it is in, so there are 24 possibilities if you include everything.
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Everyone knows he six-boxes (many worlds interpretation, choosing 3 boxes then switching and not switching).
Technically, that would be eight-boxing. (Or 24 if you let the prize be in any box). I’ll explain:
Let’s say the prize is in box A. So the eight options are:
{EY picks box A, host opens box B, EY switches}
{EY picks box A, host opens box B, EY doesn’t switch}
{EY picks box A, host opens box C, EY switches}
{EY picks box A, host opens box C, EY doesn’t switch}
{EY picks box B, host opens box C, EY switches}
{EY picks box B, host opens box C, EY doesn’t switch}
{EY picks box C, host opens box B, EY switches}
{EY picks box C, host opens box B, EY doesn’t switch}
By symmetry, there are eight options for whichever box it is in, so there are 24 possibilities if you include everything.