Tuesday 6 February 2018

probability - What is the expected number of rolls made if a fair six-sided die is rolled until a number less than one of the previous rolls is rolled?

I recently came across this problem in probability




Roll a fair six-sided die until you roll a number that is less than one of your previous rolls. To three decimal places, what is the expected value of the number of rolls made?





This is all what the question has to offer, any ideas?

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