Expectations
Discrete Mathematics
Level
4
You roll a standard six-faced-die and get \(n.\) Then, you roll it again until you get a number greater than or equal to \(n\).
The expected number of times you need to roll your die (after the initial roll) is of the form \(\dfrac{A}{B}\) where \(A\) and \(B\) are co-prime positive integers.
Find \(A+B.\)
by
Pratik Shastri