Problem 9. You have a revolver that holds up to five bullets and a revolver that holds up to eight bullets. You simultaneously pull each gun's trigger and then randomize the position of the bullets by spinning the cylinders. You repeat this until each gun fires at least one time. a. What is the expected number of trials for both guns to fire? b. Suppose instead that you simultaneously pull the triggers until a gun fires. Now, what is the expected number of trials?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 9. You have a revolver that holds up to five bullets and a revolver that holds up
to eight bullets. You simultaneously pull each gun's trigger and then randomize the position
of the bullets by spinning the cylinders. You repeat this until each gun fires at least one
time.
a. What is the expected number of trials for both guns to fire?
b. Suppose instead that you simultaneously pull the triggers until a gun fires. Now, what
is the expected number of trials?
Transcribed Image Text:Problem 9. You have a revolver that holds up to five bullets and a revolver that holds up to eight bullets. You simultaneously pull each gun's trigger and then randomize the position of the bullets by spinning the cylinders. You repeat this until each gun fires at least one time. a. What is the expected number of trials for both guns to fire? b. Suppose instead that you simultaneously pull the triggers until a gun fires. Now, what is the expected number of trials?
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