Probability with Conditional Events

A dice game includes two standard six-sided dice, each numbered from 1 to 6. The game involves rolling both dice simultaneously. Let the event A be defined as obtaining a sum of 8 when both dice are rolled. Let event B be defined as rolling at least one die showing a 2. What is the probability of event A happening given that event B has already occurred?

To solve this problem, you should first identify the total number of outcomes relevant to event B and then find the number of favorable outcomes for event A within that context.