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I am creating a card game for a project and I need to calculate the probability and distribution when playing the game. I do not know how to go about it, and would appreciate some insight on starting.

The point of the game is to choose a card to call, and if it is revealed you win. The game works as there are 2 sections, one of 5 cards which if your card is called you get 150% of your money bet, and the other section which is 3 cards but you recieve 200% of your money bet.

An example of running through it is that I place a 1dollar bet on the number 7 and I choose the 5 card pile. If a 7 is revealed in that pile I recieve 1.5 back.

If anyone could help on how to start calculating the distributions, it would be greatly appreciated. Thanks.

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