You are signing up to a website that requires you to create a username that is exactly 5 characters long. To create the username, you can use uppercase or lowercase letters (A-Z or a-z, 26+26 possible choices), numerical digits (0-9, 10 possible choices) and the symbols (*, # and @). note: suppose that the first 2 characters must be an uppercase letter and the last 2 characters must be a number. Your friend has already signed up, and he wants to see if you can guess his username correctly. He tells you that the first two characters are ”AD”, the 3rd character is a symbol, and the last two numbers are the same. You can make only one guess. You have no idea, so you make your guess at random using the information he gave you. What is the chance that your guess is correct?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 17PT: A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3...
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You are signing up to a website that requires you to create a username that is exactly 5 characters long. To create the username, you can use uppercase or lowercase letters (A-Z or a-z, 26+26 possible choices), numerical digits (0-9, 10 possible choices) and the symbols (*, # and @).

note: suppose that the first 2 characters must be an uppercase letter and the last 2 characters must be a number.

  1. Your friend has already signed up, and he wants to see if you can guess his username correctly. He tells you that the first two characters are ”AD”, the 3rd character is a symbol, and the last two numbers are the same. You can make only one guess. You have no idea, so you make your guess at random using the information he gave you. What is the chance that your guess is correct?

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