The Sad State Lottery requires you to select a sequence of three different numbers from 0 through 42. (Order is important.) You are a Winner if your sequence agrees with that in the drawing, and you are a Booby Prize Winner if your selection of numbers is correct, but in the wrong order. (Enter all probabilities as fractions.)     What is the probability of being a Winner?   What is the probability of being a Booby Prize Winner?   What is the probability that you are either a Winner or a Booby Prize Winner?

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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The Sad State Lottery requires you to select a sequence of three different numbers from 0 through 42. (Order is important.) You are a Winner if your sequence agrees with that in the drawing, and you are a Booby Prize Winner if your selection of numbers is correct, but in the wrong order.
(Enter all probabilities as fractions.)
 
 
What is the probability of being a Winner?
 
What is the probability of being a Booby Prize Winner?
 
What is the probability that you are either a Winner or a Booby Prize Winner?
 
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