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How can I apply Lotteries theory in stock or investment in the real life? What is expected utility and why we need to calculate utility

How can I apply Lotteries theory in stock or investment in the real life?

What is expected utility and why we need to calculate utility function ?

what is diminishing marginal utility ?

what is expected value?

how to see the graph of them to know is it risk averse or not?

How can I apply all of them for the real life? Can you give me an example as well in the real life? Thanks !

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