Sixty-five percent of men consider themselves knowledgeable football fans. if 12 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans.

This can be calculated using the binomial probability equation:

P = [n! / (n - r) ! r!] p^r q^ (n - r)

Where,

n = total number of men = 12

r = number of men who consider themselves knowledgeable fans = 4

p = probability of success = 65% = 0.65

q = probability of failure = 0.35

Substituting the given values:

P = (12! / 8!) * 0.65^ (4) * 0.35^ (8!)

P = 0.48 = 48%