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Exercise 3 (2 pts). In HW-1, you used a biased coin to choose a random element from a set of four elements. Now you again

Exercise 3 (2 pts). In HW-1, you used a biased coin to choose a random element from a set of four elements. Now you again need to choose a random element from a set of four elements, but you dont have any coin. Instead, you have an unbiased die, that is, a cube whose sides are labeled with numbers 1, 2, . . . , 6. When rolled, each of the numbers has equal probability of showing up on the top. How can you use the die to choose one of four elements uniformly at random? Briefly describe your method. What is the expected number of rolls in your method?

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