Question 1200499
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Answer: <font color=red>0.0008</font>


Reason:


A = 1 = number of correct passwords
B = 6*6*6*6 = 6^4 = 1296 = number of possible 4-digit passwords such that each digit is between 0 and 5 (there are 5-0+1 = 6 choices per digit)
Repeated digits are allowed.


A/B = 1/1296 
A/B = 0.00077160493828
A/B = <font color=red>0.0008</font> is the approximate probability they correctly guess the password on the first try if guessing at random.
This is about a 0.08% chance.
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