Those installers will return an error message: "You cannot use this version of the application with this version of OS X."
For users running Mac OS X 10.6.8 (Snow Leopard), the recommended free version of is version 1.8.4 or earlier. While newer versions like 1.8.7 are available, users on 10.6.8 frequently report stability issues or a complete inability to launch the program after updating beyond the 1.8.4 milestone. utorrent for mac 10.6.8 free download