MathCastle
Counting & ProbabilityMediumExpected Value, Linearity & Advanced Probability

Expected Value, Linearity & Advanced Probability · Medium problem

The numbers 1,2,3,41,2,3,4 are arranged in a random order. A “record” is an entry larger than all entries before it (the first entry is always a record). What is the expected number of records?

Express your answer as a common fraction.