On Wed, 2004-10-13 at 12:15, Eric Cavalcanti wrote: > As an extra challenge, can you think of a way to > find out if JA=YES in some of the outcomes? It > would involve different questions, but I think it > should be possible in principle.
I thought about that problem more, and I am convinced that in fact we can't. The reason is that the first question can be answered by the random god, and in this case we don't gain any information out of that. So we only have really 6 'good' outcomes. On another view, we can say that the extra outcomes in the 'states' 5 and 6 represent the extra bit of information about what the random god actually answered. Eric.