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## Main Question or Discussion Point

Hi, I am new here, so I apologize if my post is not appropriate for this forum. I have a background in chemical engineering and used to be really good at math, but after many weeks of trying to solve my problem, I am about ready to admit defeat. I hope someone here can help me out.

My goal is to plot a distribution of winnings that can be expected from a lottery. I can easily calculate the average winnings, but I would like to see the distribution, as well. If I know the individual odds of hitting 2, 3, 4, 5 and 6 numbers, as well as their respective payouts, how do I go about calculating a distribution of the total winnings? I have read a lot about distributions. I can get distributions for the number of winners that match, say 4 numbers, for example. But how do I go about adding distributions for 2, 3, 4, 5 and 6 number winners such that my resulting distribution gives me the probability of total winnings in dollar values? Any help is greatly appreciated.

My goal is to plot a distribution of winnings that can be expected from a lottery. I can easily calculate the average winnings, but I would like to see the distribution, as well. If I know the individual odds of hitting 2, 3, 4, 5 and 6 numbers, as well as their respective payouts, how do I go about calculating a distribution of the total winnings? I have read a lot about distributions. I can get distributions for the number of winners that match, say 4 numbers, for example. But how do I go about adding distributions for 2, 3, 4, 5 and 6 number winners such that my resulting distribution gives me the probability of total winnings in dollar values? Any help is greatly appreciated.