Alex Trebek Says He'll Retire From 'Jeopardy' by 2020 Jeopardy fans take heart. After more than three decades In a recent interview, the 78-year-old was asked if he could imagine a life without Jeopardy, and he answered, "Sure." The iconic game show host even has a couple of people in mind for his replacement. Alex Trebek, via 'Page Six' Alex Trebek, via 'Page Six' In a tweet, Coates seemed ecstatic that Trebek thought of her for the job.