3. I throw a sequence of 3 darts at a dartboard, aiming for the centre. Assume each one of my throws is equally skillful-that is, I don't have a tendency to get better (or worse!) with each throw. Suppose my sec- ond throw is better than my first. What is the probability that my third throw will be better than my second? The next question is the one that really interests me: is this problem really the car goat goat problem in dis- guise? If so explain carefully why these two problems are really the same. If not, explain how they are dif- ferent.

3. I throw a sequence of 3 darts at a dartboard, aiming for the centre. Assume each one of my throws is equally skillful-that is, I don't have a tendency to get better (or worse!) with each throw. Suppose my sec- ond throw is better than my first. What is the probability that my third throw will be better than my second? The next question is the one that really interests me: is this problem really the car goat goat problem in dis- guise? If so explain carefully why these two problems are really the same. If not, explain how they are dif- ferent.

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Description: 3. I throw a sequence of 3 darts at a dartboard, aiming for the centre. Assume each one of my throws isequally skillful-that is, I don't have a tendency to gef better (or worse!) with each throw. Suppose my sec-ond throw is better than my first. Wha

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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