If the outcomes are independent, the lapse frequency will not be in the form of the right-half of a normal distribution or bell curve.
In addition, every ball will be drawn the same number of times only after an infinite number of draws.
Look at the lottery games that you play. How many draws have been conducted? Hundreads? Thousands? Tens of thousands? Is the number of draws anywhere near to "an infinite number of draws"?
Because the outcomes or events are not perfectly independent, it is possible to find trends and patterns that would allow you to make confident guesses on what may happen in the next draw.