 If B < W then those wearing a black hat will see B−1 black hats and W white hats, whilst those wearing a white hat will see B black hats and W −1 white hats.
<meaning-changed>  If B < W then those wearing a black hat will see B−1 black hats and W white hats, whilst those wearing a white hat will see B black hats and W −1 white hats.
 If B < W then those wearing a blue hat will see B−1 black hats and W white hats, whilst those wearing a white hat will see B black hats and W −1 white hats.