Question: Consider a pile that has 9 coins altogether. Exactly 3 of the coins are dimes (worth 10 cents each), and the other 6 coins are

Consider a pile that has 9 coins altogether. Exactly 3 of the coins are dimes (worth 10 cents each), and the other 6 coins are pennies (worth 1 cent each). Emily picks up 4 of the coins blindly (all possibilities are equally likely) without replacement. Find the expected value (in cents) of the amount she picks up.

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