I need to choose a password for a computer account. The rule is that the password must consist of two lowercase letters (a to z) followed by one capital letter (A to Z) followed by four digits (0, 1,⋯, 9). For example, the following is a valid password

• Find the total number of possible passwords, N.
• A hacker has been able to write a program that randomly and independently generates 108 passwords according to the above rule. Note that the same password could be generated more than once. If one of the randomly chosen passwords matches my password, then he can access my account information. What is the probability that he is successful in accessing my account information?

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