Pro is related to Produce. Produce is related to Smoke. 
one thing you do when you Driving is Study. Driving can cause/lead to Accident. one thing you do when you Perform is Accident. Cast entails/necessarily involves Perform. 
Pro <--RelatedTo--> Produce <--RelatedTo--> Smoke 
Study <--HasSubevent-- Driving --Causes--> Accident <--HasSubevent-- Perform <--Entails-- Cast 