I was wondering, what is the estimated frequency for the most frequent number in lottery draws? Of course, I don't know which number it will be, but will the probability for that number converge to a certain estimate? What would be the equation for possible N numbers (e.g. N=49) for the probability P of the most frequent number? Can I even estimate the standard deviation on that estimate with an equation? Is it even possible to give a general form for the second most frequent number and so on (i.e. P(1), P(2),...)?