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?

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)

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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Question

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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