ATM personal identification number PIN codes typically consist of four-digit sequences of numbers. Find the probability that if you forget your PIN, you can guess correct sequence if you recall the two digits

If the two digits are in their correct position, then the remaining two would be 1/10 * 1/10 = 1/100

To find the probability of correctly guessing the PIN if you recall two digits, we need to determine the total number of possible PINs and the number of favorable outcomes.

Since an ATM PIN consists of a four-digit sequence, there are a total of 10,000 possible PINs (from 0000 to 9999).

If you recall two digits, you have fixed two positions in the PIN. The remaining two digits can be any number from 0 to 9.

The total number of favorable outcomes, in this case, would be the number of possible combinations for the remaining two digits, which is 10 * 10 = 100.

Therefore, the probability of guessing the correct sequence if you recall two digits is:

Probability = Number of favorable outcomes / Total number of possible PINs
Probability = 100 / 10,000
Probability = 1/100
Probability = 0.01 or 1%

So, the probability of correctly guessing the PIN if you recall two digits is 0.01 or 1%.