Consider a game where each of 10 people randomly drop a dollar bill with their name labeled on it into a bag and then take turns picking a dollar each from the bag without replacement .
a) Given that the first person to pick a bill with his name wins all the money , what is the best order to draw in order to increase your chances of winning?
b) What is the probability that someone wins the game ? ( i.e. at least one person picks a bill with his name)
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