The correct answer is A) Billionaire Business Tycoon to run for Governor.
The headline that sounds more credible is A Billionaire Business Tycoon to run for Governor.
A good headline in the Press should be short, clear, interesting, credible, and easy to read to capture the attention of the reader. In this case, the headline “A Billionaire Business Tycoon to run for Governor”, is the correct one among the other three options. For instance, option B) is too informal. Option C) is too simple. And option D) sounds simple and somewhat rude. That is why option A) sounds more credible.