What is the error rate when two out of three login attempts fail?

To determine the error rate when two out of three login attempts fail, it is essential to understand how error rates are calculated. The error rate is defined as the proportion of failed attempts relative to the total number of attempts.

In this scenario, there were three login attempts, and two of those attempts failed. To find the error rate, you would use the formula:

Error Rate = (Number of Failed Attempts) / (Total Number of Attempts)

Plugging in the values from the question:

Error Rate = 2 (failed attempts) / 3 (total attempts) = 2/3

This calculation confirms that the error rate is indeed two-thirds, signifying that two out of every three attempts resulted in failure. This measure helps to understand the reliability of the login system, indicating that a significant portion of attempts are unsuccessful.