Final answer:
Michael Phelps did not win a gold medal in Breaststroke. He is known for excelling in Butterfly, Freestyle, and Individual Medley.
Step-by-step explanation:
In response to the question regarding which event Michael Phelps did not win in a recent Summer Olympic Games, the answer is c. Breaststroke. Michael Phelps is renowned for his prowess in various swimming disciplines, but primarily in Butterfly, Freestyle, and Individual Medley events.
It's well-documented that Phelps has accumulated numerous gold medals in these categories; however, Breaststroke is not one of the stroke styles in which he earned gold medals during his illustrious Olympic career.