The birthday problem involves random people with unrelated birthdays. This is like two not-random siblings both calling in sick in the same week. The case of tw

The birthday problem involves random people with unrelated birthdays. This is like two not-random siblings both calling in sick in the same week. The case of two large Google outrages where the whole service gets conked has much more potential to have a shared or related cause than two birthdays happening at once. You're right that it's not astronomically small, but the odds of them being related seem healthier than the odds of them being unrelated.