Question

Sam is going to repeatedly select cards from a standard deck of 52 cards with replacement...

Sam is going to repeatedly select cards from a standard deck of 52 cards with replacement until he gets his 5th heart card.
Let Y be the number of cards he is drawing.
Let X1 be the number of spot cards (2, 3, 4, 5, 6, 7, 8, 9, 10) he draws,
X2 be the number of face cards (Jack, Queen and King) he draws,
and X3 be the number of aces he draws.
Find the JOINT PROBABILITY MASS FUNCTION of Y, X1,X2, and X3.

*note: i saw another question posted like this one and it was confusing- please explain in new way

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