A real-life example of the chain structure implying independence between two events would be drinking and driving and the number of car accidents. This can put you at high-risk of crashing your vehicle, and is proven as it is against the law to operate a motorized vehicle under the influence. However, another variable that could also contribute to the number of car accidents could be the weather. For example, up in Orono, Maine the snow quantity is much greater then Southern Maine. The cold, and weather patterns contribute to the roads becoming icy and dangerous, thus causing more accidents.Please see below:

Number of Car Accidents Number of People Driving Under the Influence