This really depends on the pure strategies that you choose. The initial set of strategies wasn't very diverse and compensated for the binary search "weaknesses

This really depends on the pure strategies that you choose. The initial set of strategies wasn't very diverse and compensated for the binary search "weaknesses" on the ends of the spectrum by sometimes guessing 1 and 98. But after adding some more pure strategies to the set, we've got a far better mixed strategy that prefers the numbers between 28-70 as the first pick: https://github.com/gukoff/ballmer_puzzle#winning-strategy https://github.com/gukoff/ballmer_puzzle#winning-strategy