Gerardo believes that every time he picks up a penny he is blessed with good fortune, due to the fact that the last time he picked up a penny he had a lottery win, and the time before that he got a big bonus at work. gerardo's perception is likely a product of a(n)

illusory correlation  

Explanation:

Illusory correlation: In psychology, the term illusory relationship is defined as the tendency of perceiving or analyzing a relationship between different variables including events, behaviors, or people in the absence of any sort of relationship.

Example: A woman thinks that people living in urban environments tend to be more intelligent as compared to people living in rural areas. Eventually, when she meets anyone who is less intellectual she assumes that the person lives in a rural area instead of the urban area.

An illusory correlation occurs when an individual mistakenly over-emphasize the tendency of occurrence of one outcome whereas ignores the other outcomes.

the best and most correct answer among the choices provided by the question is the second choice "less supportive to the war of 1812"

the war of 1812 was a military conflict that lasted from june 1812 to february 1815, fought between the united states of america and the united kingdom, its north american colonies, and its native american allies.

i hope my answer has come to your . god bless and have a nice day ahead!