Final answer:
Gangsters and con artists fit into Robert Merton's 'Innovation' category of deviance, where individuals pursue goals like wealth through illegitimate means when they lack opportunity via legitimate channels.
Step-by-step explanation:
Rober Merton's typology of deviance, specifically the strain theory, addresses the tensions people experience as they attempt to attain culturally approved goals via institutionalized means. Gangsters and con artists would be classified under Merton's category of Innovation.
These individuals pursue culturally accepted goals, such as wealth and success, but do so through illegitimate, often criminal means, because they lack the opportunity to achieve these goals through legitimate paths due to their circumstances.
Individuals involved in these activities adapt by rejecting the conventional means of attaining success and opting to innovate through deviant methods, including illegal activities.
Their behavior exemplifies an adaptive strategy in response to a gap between societal goals and the access to the means of achieving them, which highlights a crucial aspect of the strain theory.