Capt Stormfield writes:
So, interesting question about game show tactics, but not about probability.
Indeed, the host doesn't care whether you win or not. He's just interested in showing off the car for the dealer who sponsors the show. If he doesn't give it to you, he'll give it to somebody else tomorrow. His goal is to keep the audience watching by keeping up the suspense. He has to have winners to keep the suckers coming in.