MathDB
2016 Discrete #4

Source:

August 10, 2022
2016Discrete Math Test

Problem Statement

At a festival, Jing Jing plays a game where she must knock down ten targets with as few balls as possible. Every time Jing Jing knocks down a target, she can reuse the ball she just threw and does not have to pick up a new ball. Suppose that Jing Jing knocks down each target with a probability of 34\tfrac{3}{4}. Compute the expected number of balls that Jing Jing needs to knock down all ten targets.