Suppose we roll a fair 6 sided die with the numbers [1,6]
written on them. After...
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Suppose we roll a fair 6 sided die with the numbers [1,6]written on them. After the first die roll we roll the die ? timeswhere ? is the number on the first die roll. The number of pointsyou score is the sum of the face-values on all die rolls (includingthe first). What is the expected number of points you willscore?
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There are 6 options when we roll the die first time if first roll is 1 there will be one roll only that have 6 possibilities 123456 which each have same probability which is 16 Prfirst roll 1 16 and Expected number on the next 1 roll Ek 2 16 1 2 3 456 35 so expected sum of die rolls when first roll is
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