To determine the probability of randomly choosing the correct last two digits of your password, we need to consider the number of possible combinations for two digits.
If we assume the last two digits can be any digit from 0 to 9, then:
- Each digit has 10 possible values (0 through 9).
- Therefore, for two digits, the total number of combinations is: \[ 10 \times 10 = 100 \]
Now, since only one of these combinations is correct, the probability of randomly choosing the correct combination of the last two digits is given by the ratio of the number of successful outcomes (choosing the correct combination) to the total number of possible outcomes.
Thus, the probability \( P \) is: \[ P = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}} = \frac{1}{100} \]
So, the probability that you randomly choose the correct last two digits is \( \frac{1}{100} \) or 1%.