probabilty

Question

Hi there can someone help me with this 

rule 1: the password must contain at least7 characters

rule 2: it must contain at least 3 out of the following four character groups 

english upper case [a-z] there are 26 of these

english lower case [a-z] there are 26 of these

numerics [0-9] there are 10 of these

non alphabetic [!*$] there are 32 of these on a standard keyboard

 

assuming that a 7 digit password is chosen consisting of

1 uppercase letter

4 different lower case letter

a numeric and

a non alphabetic  selected in this order

 

whats the probabilty that this password could be guessed correctly 

Answer 1

First, I have a question: Is the one guessing knows the assumption? If yes, then my answer is 3.3498 x 10^-10

 

Because if not, (like the one is just really guessing) then I got nothing.