What to Watch for in Tuesday’s Primaries in Five States

Five states will hold presidential primaries on Tuesday — Arizona, Florida, Illinois, Kansas and Ohio — the largest such set of contests since Super Tuesday three weeks ago.

But with the presidential nominating contests already decisively clinched, neither of the presumptive nominees will make appearances in those states today. Instead, President Biden will travel to Nevada, a top fall battleground, visiting Reno and Las Vegas, while Dr. Jill Biden, the first lady, will campaign across New England. Former President Donald J. Trump campaigned in Ohio on Saturday.

The attention today is on a handful of down-ballot races.

Chief among them is the Republican primary for a competitive Senate seat in Ohio. Three Republicans are duking it out for the chance to run against Senator Sherrod Brown, a Democrat.

Mr. Trump stumped for his preferred candidate, Bernie Moreno, a former car dealer from Cleveland, on Saturday but mentioned him only sparingly in his caustic, freewheeling speech at a rally in Vandalia in which he said that some migrants were “not people” and that the country would face a “blood bath” if he lost in the November election. Mr. Moreno will face off against Frank LaRose, the Ohio secretary of state, and Matt Dolan, a wealthy state senator, in the primary.

In Illinois, a number of competitive House primaries could signal some of the contours of the fall election.

In the 12th Congressional District, Mike Bost, the incumbent, is facing a Republican challenger to his right in Darren Bailey, who lost the governor’s race to J.B. Pritzker by a wide margin in 2022. Mr. Bailey is an ardent pro-Trump Republican, but Mr. Bost has Mr. Trump’s endorsement.

Danny Davis, 82, is running to keep his seat in the Democratic primary for the