You play a lottery where, every day, a set of 6 numbers is chosen out of {1, . . . , 45} and announced at 5PM. To play, before 5PM, you circle 6 distinct numbers on a form with the numbers 1, . . . , 45, and you turn in the form (and pay $1). You win only if you pick exactly 3 of the numbers announced at 5PM the day you turn in your form. What are your chances of winning?

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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You play a lottery where, every day, a set of 6 numbers is chosen out of {1, . . . , 45} and announced at 5PM. To play, before 5PM, you circle 6 distinct numbers on a form with the numbers 1, . . . , 45, and you turn in the form (and pay $1). You win only if you pick exactly 3 of the numbers announced at 5PM the day you turn in your form. What are your chances of winning?
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