Encrypted disk image opens without password
Sometimes when I switch users, I find that an encrypted disk image has mounted, and its contents are available. This happens only when I go from the main user (with standard privileges) to a different standard user. Neither user has the encrypted disk password stored in Keychain Access. I can’t figure out how to reproduce this problem, but it occurs about 5-10% of the times I switch to the second user. (Minor rant 1: I have never heard of an encrypted disk image doing this. It shouldn't be possible.) The encrypted disk image is very large (>100 GB), and I will have to make a new one because even if the problem is identified, I'll never trust this one.
Privilege info that may not be relevant:
Get Info shows that three standard users (one of which is me) have "Custom" privileges. I set-up the disk image so the three users would have "read and write" privileges, and that's what TinkerTool System shows. Get Info also shows that user groups firebird, _unknown, and everyone have "read and write" privileges. I did not grant any privileges to group everyone, and groups firebird and _unknown weren't on the initial list of privileges. I fixed privileges, except I cannot delete the firebird group. (Minor rant 2: Apple totally mucked up privileges. It did not need to adopt the entire set of UNIX privileges. Firebird shouldn't exist as a group. The OS should check the privileges of installed apps and ask the user what to do if the app has atypical permissions.) Privileges shouldn’t affect encrypted disk password security, but who knows what's contributing to this security nightmare.
Mac Pro (Early 2009), Mac OS X (10.6.8)