Firstly let me be clear, I don't play the lottery or even follow draws, but something going round in my head for some time are the possible results of a lottery draw, The chance is roughly 1 in 13,983,816 but that is also a big odd against any pattern to emerge, for instance, its very unlikely that 1 2 3 4 5 6 will ever occur, for that matter so would 2 3 4 5 6 7 or even 1 3 5 7 9 11 This brings me to my question, is there a way to describe all possible "ordered" results and subtract that from the total odds? Wiki entry
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One should not be mislead in considering properties of numbers to derive "likeness" of particular lottery draws. Lotteries use numbers simply as a concrete device to make balls distinguishable and bets easy to make.
Were the lotteries use abstract symbols such as $$ \bullet\qquad\times\qquad\oplus\qquad\circ\qquad\ddagger\qquad\nabla\qquad... $$ to diversify the balls, all the numerical "coincidences" would just disappear proving what they really are: psychologically induced illusions.