Fundamental Counting Principle and Probability Paul is making a passcode. The requirements are: 33 digits from 00 to 99, followed by 22 letters from AA to MM (1313 letter options), followed by 11 special character from the set {{ !, @, #, $, % }} . How many different ways are there to make a passcode?    Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places. A passcode meeting these requirements is randomly assigned. a) What is the probability the special character is $?     b) What is the probability that the 33 digits are all more than 33?     c) What is the probability the letters are the same?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Fundamental Counting Principle and Probability
Paul is making a passcode. The requirements are:

33 digits from 00 to 99, followed by
22 letters from AA to MM (1313 letter options), followed by
11 special character from the set {{ !, @, #, $, % }} .

How many different ways are there to make a passcode?

  
Use the information above and below to determine the probabilities. Enter your answers as percents rounded to four decimal places.
A passcode meeting these requirements is randomly assigned.

a) What is the probability the special character is $?

   

b) What is the probability that the 33 digits are all more than 33?

   

c) What is the probability the letters are the same?

   
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