Now: consider a game of
        Fizzbin
        played against an extraterrestrial
                   
            The ET deals a series of five-card hands, 
                   
                    from a
        deck with unknown numbers of cards, suits, cards /
          suit, & ranks
                   
                    and
        declares which of you is the winner after each deal
    
             Probability theory cannot predict
        p(winning) because the necessary data are lacking
                 Likelihood
          (Bayesian) theory can estimate L(winning)
                   
               based on accumulated data
        on the composition of hands, and which win or lose
                   
                    E.g.,
        after the first game the minimum number of suits &
        cards / suit is known
                   
                   
                After N games,
        a reasonable model of the maximum numbers is
        possible
                   
                   The model might
        assume [be conditioned on the expectation]
                   
                   
                that all suits contain equal
        numbers of cards, as in Poker
    
                   
                Additional data might
        indicate that there is a less common suit, or rank
                   
                   
               Analysis of the distribution of
        events could estimated
                   
                   
                E.g., a Chi-Square
          test might reject the hypothesis that all suits are
        equally common