3 ms·
I believe (I could be wrong here, I haven't rigorously checked this) that when the numbers are less than 100 and both parties know this, there will always be a
by vintermann 5y ago
I believe (I could be wrong here, I haven't rigorously checked this) that when the numbers are less than 100 and both parties know this, there will always be a possibility eliminated by a "I don't know" statement.
- caf 4y agoAfter the round in the posed problem, it reaches a stalemate. If Peter had said "I don't know the numbers" at the end there, Sandy can exclude the possibility that the numbers were 77 and 84. However, at this point Peter already knows that Sandy still doesn't know the numbers: Even if the sum Sandy was told was 161, there are still five remaining live possibilities for that sum (62 + 99, 65 + 96, 70 + 91, 76 + 85 and 80 + 81), so Peter gains no new information from Sandy's next statement that Sandy does not know the numbers.