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The Charity Bazaar
Roger, Steve, and Ron and their wives go to a charity bazaar. Each of the six buys a different item, and each buys just as many of that item as its price in pennies. Each man spends 63 cents more than his wife. Heidi and Sally together buy the same number of items as Roger. Ron and Heidi together buy the same number of items as Irena.
Who is married to Steve?
Lemon and Cherry Candies
George has bought a bag containing 100 pieces of candy consisting of 90 cherry candies and 10 lemon candies. He prefers the cherry candies but likes the lemon candies, too. Each day, George randomly selects a piece of candy from the bag. If the piece of candy is cherry flavored, he happily eats the candy. But if the candy is lemon flavored, he puts the candy back in the bag, shakes it up, and randomly selects a piece of candy again. The second time, he eats the candy regardless of whether it is cherry flavored or lemon flavored.
What is the probability that the last piece of candy George eats is lemon flavored?