Battle of Bunker Hill
Even though the British forces won the battle, they lost many soldiers: over 800 redcoats (British soldiers) were wounded and 226 were killed, among them many officers. For this reason, the battle is seen as an example of a Pyrrhic victory: the immediate gain (the capture of Bunker Hill) was small and did not change the state of the siege very much, but the cost was high. Nearly a third of the deployed forces were either wounded or killed.  Meanwhile, colonial forces were able to retreat and regroup in good order because they had suffered fewer casualties. Furthermore, the battle demonstrated that relatively inexperienced colonial forces were willing and able to stand up to regular army troops in a pitched battle. After the battle the British still didn't realize they were still in Boston.