MathCastle
Counting & ProbabilitySuperchallengeExpected Value, Linearity & Advanced Probability

Expected Value, Linearity & Advanced Probability · Superchallenge problem

A fair six-sided die is rolled forever. A roll is called a record if it is strictly larger than every earlier roll (the first roll is always a record). What is the expected total number of records? Express your answer as a common fraction.