( i ) What is the probability that he requires five shots to hit the bullseye once? ( ii ) What is the probability that he requires five shots to hit the bullseye twice? ( iii ) What is the probability that he hits the bullseye twice in five shots?

( i ) What is the probability that he requires five shots to hit the bullseye once? ( ii ) What is the probability that he requires five shots to hit the bullseye twice? ( iii ) What is the probability that he hits the bullseye twice in five shots?

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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Question

A marksman can hit the bullseye on a target 25% of the time. An experiment involves this marksman shooting repeatedly at the target. His shots are all independent of one another and his probability of hitting the bullseye remains fixed at 25%. ( i ) What is the probability that he requires five shots to hit the bullseye once? ( ii ) What is the probability that he requires five shots to hit the bullseye twice? ( iii ) What is the probability that he hits the bullseye twice in five shots? (iv) What is the probability that he gets his second bullseye on his fifth shot given that he got his first bullseye on his first shot?

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