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You have the six numbers 1, 2, 3, 4, 5, and 6 written on separate cards in a hat. You choose cards one at a time, without replacing them, and write down the numbers in the order you choose them. a) How many outcomes are there for this experiment?
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b) What is the probability that your number is 654321? c) Suppose you do this experiment 3000 times. Write down an expression for the probability that at least once you get the number 654321.
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