One of the greatest appeals of a game show is in those unscripted moments that live on in infamy. You know the ones. Hilarious and wildly incorrect guesses on The Wheel of Fortune, or Jeopardy!

“The Price Is Right,” the longest-running game show, airs its landmark 10,000th episode Wednesday. Drew Carey initially balked at hosting but came around. He “felt like a steward of the show for Bob ...