 Since B−1 < B ≤ W −1, those players wearing a black hat will be the first to speak, guessing correctly that their hat is black .
<meaning-changed>  Since B−1 < B ≤ W −1, those players wearing a black hat will be the first to speak, guessing correctly that their hat is black .
 Since B−1 < B ≤ W −1, those players wearing a black hat will be the first to speak, guessing correctly that their hat is blue .