As it is a broadcasted game show, it would be public knowledge that the host only sometimes offers the choice, therefore rendering his ability to be malicious more or less zero. And if he counters by sometimes offering the choice even though one had not chose the correct door, it would still be the same.
Nils Müller (npub13qu…khpe) Scott Francis (npub1xhq…jp3q) Stephen Shankland (npub1fvj…90nr)