The document describes a geometric distribution problem where a state trooper checks cars for speeding and the probability of catching a speeding teenager is 47%. The question asks for the probability that the first speeding teenager caught is the third car of the day. Using the geometric distribution formula of P(x)=(p)(q)^(x-1), where p is the probability of success (47%) and q is the probability of failure (1-p or 53%), the solution is calculated as P(3)=0.47*(0.53)^2=0.132023 or a 13.2% probability.