Answer:
The probability of correct guess on the first try is [tex]\frac{1}{16384}[/tex].
Step-by-step explanation:
Consider the provided information.
The ATM has 4 key pad and required a 7 digit pin, where repetition is allowed.
Thief has 7 slots and 4 choices per slot. Because repetition is allowed.
Thus, the total number of different ways are:
4×4×4×4×4×4×4 = 16384
But only one combination is proper code.
Therefore,
[tex]\frac{1}{16384}[/tex]
Hence, the probability of correct guess on the first try is [tex]\frac{1}{16384}[/tex].
