Yeah, this is pretty close to how I see it. The key is making it clear that switching doors will always switch you from Lose to Win and vice versa. Switching d

Yeah, this is pretty close to how I see it. The key is making it clear that switching doors will always switch you from Lose to Win and vice versa. Switching doors is equivalent to switching outcomes. That's the critical fact, IMHO. Once that's accepted, the rest falls into place: there's a 2/3 chance that you picked a Losing door, so there's a 2/3 chance that you'll benefit from switching outcomes, and since you're guaranteed to switch outcomes if you switch doors, there's a 2/3 chance that you'll benefit from switching doors.