You can check the subnet mask by looking at the advanced section of your IP address... Control Panel -> Network & Dial-up Connections, right-click the connection and look at the properties (or something like that... not at a Windows box at the moment, so having to try and remember that last bit)
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The ping reply means that it's failing... hence why you can't connect cause your machine can't see the other machine. You could check it by replacing the name of the machien with the IP address, but I'd guess you get the same result.
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If you do throw the laptop outta the window, let me know where you live, cause I could do with a new 'puter