Which fallacy is indicated when someone links their lucky number 7 to betting success in the seventh race?

The reasoning behind the choice of non sequitur as the correct answer lies in the nature of the connection made between the lucky number 7 and betting success in the seventh race. A non sequitur fallacy occurs when the conclusion does not logically follow from the premises. In this case, the belief that a number being "lucky" can directly influence the outcome of a betting situation lacks a logical basis; the success of the bet is not inherently tied to the number in a way that would justify such a conclusion.

In contrast, the other fallacies listed do not accurately describe the problem here. Post hoc refers to assuming that because one event follows another, the first event must have caused the second. Faulty analogy involves making a comparison between two things that aren't sufficiently alike in relevant respects. Hasty generalization entails making a broad generalization based on insufficient evidence. None of these specifically capture the illogical leap made by linking the number 7 with betting success without any supportive reasoning. Thus, identifying this as a non sequitur highlights the flawed logic more accurately in this context.