The discussion centers on calculating the probability of correctly guessing a three-digit PIN code from an 8-key keypad, where digit repetition is permitted. The total number of possible PIN combinations is determined using the fundamental counting principle, which states that for each digit, there are 8 options. Therefore, the total number of unique PIN codes is 8^3, equating to 512 possible combinations. Since only one of these combinations is correct, the probability of a successful guess on the first attempt is 1 in 512.
PREREQUISITESThis discussion is beneficial for mathematicians, security analysts, and anyone interested in understanding the probabilities involved in PIN code security and guessing strategies.
jridgeman99 said:Hello, the problem is as follows. I'm not sure if it is a permutation or combination problem. It says if a thief steals and ATM card and must randomly guess the correct three digit pin code from an 8 key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?