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Mathematics, 16.10.2020 14:01 decoreyjpaipxv
You toss a fair tetrahedral (4-sided, and the sides are marked "1", "2", "3", and "4") die, and you play the following game repeatedly. For each game, you throw the die n > 3 times. Starting from the third throw of the current game, right after each throw, you will get 1 dollar if the total number of points on the last three throws is 8 or higher, and you pay 1 dollar otherwise. It is possible to verify that your probability of winning one dollar on the third throw is 0.5. The random variable Xi represents the outcome of the i th throw.
Required:
Find the expected value of your total gains/losses over one game in terms of n.
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You toss a fair tetrahedral (4-sided, and the sides are marked "1", "2", "3", and "4") die, and you...
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