When a host says to one contestant that they are no longer part of the show, what verb do you use?

Obviously, you can't say 'fire' because it's not that they are the host's employee. The same goes for 'sack'. 'Give the boot'? Maybe. But what is a neutral way to say that? 'Exclude'? No. 'Expel'? I don't think so. I can't figure it out myself, please assist.