MathDB
Juggling Time Expectation

Source:

March 16, 2010
probabilitylinear algebramatrixexpected value

Problem Statement

Katie begins juggling five balls. After every second elapses, there is a chance she will drop a ball. If she is currently juggling k k balls, this probability is k10 \frac{k}{10}. Find the expected number of seconds until she has dropped all the balls.