This may be very true and I think that if you're more familiar with the program and recognize that the host must know the answer then it becomes more a question of statistical intuition.
I'm confident that there are lots of people who still fail to make the connection (though we're getting to the point where I think people are failing less due to a lack of statistical intuition and more due to a symbolic/physical model mismatch issue), but I think this problem wouldn't be as renowned as it is if it weren't for all of the even expert statisticians who are getting fooled.
In their case it's definitely a matter of them misinterpreting the situation and the way that it's worded, for someone unfamiliar with the show, is at least a little "tricky".
I'm confident that there are lots of people who still fail to make the connection (though we're getting to the point where I think people are failing less due to a lack of statistical intuition and more due to a symbolic/physical model mismatch issue), but I think this problem wouldn't be as renowned as it is if it weren't for all of the even expert statisticians who are getting fooled.
In their case it's definitely a matter of them misinterpreting the situation and the way that it's worded, for someone unfamiliar with the show, is at least a little "tricky".