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Your friend tells you they have seven coins in their hand (pennies, nickels, dimes, and quarters) and asks you to guess how many of each

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Your friend tells you they have seven coins in their hand (pennies, nickels, dimes, and quarters) and asks you to guess how many of each type of coin they have. What is the maximum number of guesses that could be necessary to identify the correct distribution? Answer: Your friend tells you they have four coins in their hand (pennies, nickels, dimes, and quarters), and if you correctly guess how many of each type of coin they have, they will give them to you. If you guess randomly, what is the probability that you will be correct

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