Question: Hi, I need help figuring out how to calculate the expected net gain of a probability distribution please. Original Problem: A charity organization hosts a

Hi, I need help figuring out how to calculate the expected net gain of a probability distribution please.

Original Problem:

A charity organization hosts a raffle drawing at a fundraising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000.

Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once (remember that the net gain should include the cost of the ticket).

Current Problem:

If you were to play in such a raffle 100 times, what is the expected net gain?

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