about the probabilities: say Steve's number is 59. I say 50, Steve says higher, so there are just 50 numbers left and the new probability is 1/50, I say 75, St

about the probabilities: say Steve's number is 59. I say 50, Steve says higher, so there are just 50 numbers left and the new probability is 1/50, I say 75, Steve says lower, so the probability is 1/24 (otherwise it would be 1/25), and so on