Vir (the ambassador's assistant) needs to open ambassador Molari's document safe in order to bring important documents to Molari's meeting. Unfortunately Vir has forgotten the 5 digit code, but he does remember some particulars about it. He knows that no digits are repeated. That the first digit is odd. The middle digit is a 6 or a 9, and the last two digits are less than 3.

(a) With the remembered information how many codes are possible?

(b) What is the probability Vir will guess the code correctly?