2. Suppose that we play a game where, in any round, we start by tossing a couple of fair dice and we record the absolute

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2 Suppose That We Play A Game Where In Any Round We Start By Tossing A Couple Of Fair Dice And We Record The Absolute 1 (20.41 KiB) Viewed 27 times

2. Suppose that we play a game where, in any round, we start by tossing a couple of fair dice and we record the absolute difference between the upturned faces. Then we toss a third fair die and, if the upturned face shows a value that is greater than the previously recorded absolute difference, we win the round. (a) (10p) Compute the probability of winning (Hint: Use an Excel spreadsheet and a three dimensional matrix to case the computation). (b) (15p) Use an Excel spreadsheet to estimate the probability of winning by Monte Carlo simulation. Develop your application in a single Microsoft Excel spreadsheet and write down the estimate that you have computed for 0.