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You have 4 pennies, 3 nickels, and 3 dimes in your pocket, and you reach into your 6. pocket and put three coins at random

You have 4 pennies, 3 nickels, and 3 dimes in your pocket, and you reach into your 6. pocket and put three coins at random in your hand. Its fine to leave uncomputed expressions like (7 c3) in your answers. (a) What is the probability that you have one penny, one nickel, and one dime in your hand? (b) What is the expected number of dimes in your hand

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