How to update Unity Web Player?
There are two ways to trigger the update:
Go to c:\Users\{you}\AppData\LocalLow\Unity\WebPlayer and replace {your} with your username. Once the folder opens, launch UnityWebPlayerUpdate.exe and wait a little. If there is an update, it will be downloaded and applied automatically.
c:\Users\{you}\AppData\LocalLow\Unity\WebPlayer
Download the latest version from its official website and download it. Install Web Player by overwriting it and that's it. Make sure your browsers are closed while this operations completes successfully.
Download page: https://unity3d.com/webplayer