Suppose you have a sword. You want to raise its level by using gems. For each gem you use, there is a 50% chance you will succeed and 50% chance you will fill. A success will raise the level by one. If the sword is at level 5 or greater, a failure reduces the sword by 1 level; if the sword at a level less than 5, a failure has no effects. How many gems can you expect to use to raise a level 1 sword to level 9?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you have a sword. You want to raise its level by using gems. For each gem you use, there is a 50% chance you will succeed and 50% chance you will fill. A success will raise the level by one. If the sword is at level 5 or greater, a failure reduces the sword by 1 level; if the sword at a level less than 5, a failure has no effects. How many gems can you expect to use to raise a level 1 sword to level 9?

 

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