"Randomness" from a human language perspective has little to do with security. Length has a larger effect than adding symbols and numbers to your character set, or making the password not human words.
15 characters from the set of 90 on an English keyboard: 3.95x10^29 combinations. Hard to type and remember.
6 words from the Oxford English Dictionary (171476 terms): 2.54x10^31 combinations. Trivial to type and remember.
You want longer passwords, not "harder" passwords.