Question: Suppose Alice is faced with the ski rental problem, where buying skis is 20 times more expensive than renting. In this case, however, Alice notices

Suppose Alice is faced with the ski rental problem, where buying skis is 20 times more expensive than renting. In this case, however, Alice notices that she has a fair coin in her pocket and is willing to consider a randomized strategy. Show that she can use her coin to come up with a strategy with an expected competitive ratio of 1.8 or better.

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