Final answer:
The relationship between smoking cigarettes and the use of illicit drugs is a positive correlation, meaning cigarette smokers are more likely to use illicit drugs.
Step-by-step explanation:
The relationship between smoking cigarettes and the use of illicit drugs is often studied in the field of public health and substance abuse. Several studies indicate that there is a positive correlation between cigarette smoking and illicit drug use. This means that individuals who smoke cigarettes are more likely to use illicit drugs compared to those who do not smoke. The basis for this correlation is that both behaviors involve the compulsive use of substances despite the negative consequences that may entail, which can lead to drug addiction. It is important to note that while a correlation exists, this does not necessarily imply causation.