Berkson's Restaurants
Patrons rate restaurants based on a number of features, including the quality of the food and the quality of the "atmosphere" (what it looks like, what music they play, etc). They combine these ratings into an overall rating from one to five stars.
You come across two restaurants that you know have five star ratings. You can see inside, but you haven't tasted the food yet. Which restaurant is more likely to have the best tasting food?
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Let's say the value (V) of a restaurant is direct and positive function of the taste of food (T) and the quality of the ambient (A). The bigger these values are, the more stars the restaurant gets. We have 2 restaurants that have both 5 stars, but one of them is worst looking. If both of them have 5 stars, the one which is worst looking must compense this loss in A with more points in T, so it will probably serve much better food.
Obvsiously, we should consider all the variables, but the question says "more likely", so we can think that the other variables are equals.