Marginal PMF from Joint PMF

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Example problem on how to find the marginal probability mass function from a joint probability mass function for discrete cases.

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Thanks! This helped clear up some of my confusion

digiowl
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would these then not be independent because the marginal pmfs are different?

cadenryals
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you could just determine marginal PMFs using just x or y characters without finding for each magnitudes of x and y.

hellobro