Comment by FaceKicker

It's actually much more than 3 times the chance; this rule allows you to restrict your brute force search to only check passwords with no uppercase characters (or no lowercase characters) which reduces the key space for a given maximum password length quite a bit. (e.g., if there were normally 100 characters allowed and n is the max length, taking out 26 characters reduces the search space from 100^n to 74^n - not that an intelligent password cracker would ever try to iterate straight through the actual space of all allowable passwords)