Remove the "persist security info" (used with SQL not Access) and add the following:
Jet OLEDB:Database Password=password
So your new connection string should read:
strConnection = "Provider=Microsoft.Jet.OLEDB.4.0;Data Source=" & strDBPath & "security.mdb;Jet OLEDB:Database Password=typepass"
:where 'typepass' is your database password.
If this doesn't work make sure you have the latest MDAC (currently 2.6 SP1) available at
http://www.microsoft.com/data/download.htm. Let me know what works for ya. Cheers.