On the marketplace Gypsy accepts bets on two dice throw (he throws two dice at the same time, not one after another). Gamblers come and say what numbers will be on each of the two dice (it is a bet on a pair). Which test should I use to check if the pair of numbers the people propose is a result of a single number preferences.
For example, suppose for some reason the people consider 3 as a magic lucky number and more often bet their money on that number. So most often they choose combination of double 3. Less often they choose 3 and any other number except 3. The least often they choose pairs that do not contain number 3 at all.
I have a feeling that the combination of 3 and 1 is rather rare. If that was true, it would mean that the people have preferences to the pairs, not numbers.