You are invited to partake in a challenge with an 8-sided die. Here's the setup: Roll the die once. Decide whether to accept that score or risk a second roll. If you choose to roll again, your score is the combined total of both rolls. If the sum exceeds 8, you "bust" and score zero. Given these rules, outline the optimal strategy after the outcome of the first roll. Specifically, should you risk a second roll or keep your initial score?