3) A computer password has seven characters. • The first three characters (1st, 2nd, 3rd positions) must be letters. The first letter must be uppercase, while the next two may be upper or lowercase. Letters may not be repeated. The next three characters (4th, 5th, 6th positions) must be numbers. Numbers may be repeated. The last character (7th position) can be one of four special characters (*, !, @, $). (a) How many possible passwords can there be in total? Diagram required! [3] (b) A hacker uses a software program to guess the password. The hacking software program can guess 1,000,000 passwords per second. What is the software's minimum time for guessing the password? [2] (c) A hacker uses a software program to guess the password. The hacking software program can guess 1,000,000 passwords per second. What is the software's maximum time for guessing the password? [2] (d) What is the probability of the software program guessing the password in the first 0.5 seconds? [2]
3) A computer password has seven characters. • The first three characters (1st, 2nd, 3rd positions) must be letters. The first letter must be uppercase, while the next two may be upper or lowercase. Letters may not be repeated. The next three characters (4th, 5th, 6th positions) must be numbers. Numbers may be repeated. The last character (7th position) can be one of four special characters (*, !, @, $). (a) How many possible passwords can there be in total? Diagram required! [3] (b) A hacker uses a software program to guess the password. The hacking software program can guess 1,000,000 passwords per second. What is the software's minimum time for guessing the password? [2] (c) A hacker uses a software program to guess the password. The hacking software program can guess 1,000,000 passwords per second. What is the software's maximum time for guessing the password? [2] (d) What is the probability of the software program guessing the password in the first 0.5 seconds? [2]
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.4: Comparing And Ordering Integers
Problem 1E
Related questions
Question
g12 math data management 3
![3) A computer password has seven characters.
•
The first three characters (1st, 2nd, 3rd positions) must be letters. The first letter must be uppercase, while
the next two may be upper or lowercase. Letters may not be repeated.
The next three characters (4th, 5th, 6th positions) must be numbers. Numbers may be repeated.
The last character (7th position) can be one of four special characters (*, !, @, $).
(a) How many possible passwords can there be in total? Diagram required! [3]
(b) A hacker uses a software program to guess the password. The hacking software program can guess
1,000,000 passwords per second. What is the software's minimum time for guessing the password? [2]
(c) A hacker uses a software program to guess the password. The hacking software program can guess
1,000,000 passwords per second. What is the software's maximum time for guessing the password? [2]
(d) What is the probability of the software program guessing the password in the first 0.5 seconds? [2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5be985fb-9d00-4777-b100-a64b57bb3218%2Fa91d964b-f569-4993-b415-5dfafa703dfd%2Fxymvk7e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3) A computer password has seven characters.
•
The first three characters (1st, 2nd, 3rd positions) must be letters. The first letter must be uppercase, while
the next two may be upper or lowercase. Letters may not be repeated.
The next three characters (4th, 5th, 6th positions) must be numbers. Numbers may be repeated.
The last character (7th position) can be one of four special characters (*, !, @, $).
(a) How many possible passwords can there be in total? Diagram required! [3]
(b) A hacker uses a software program to guess the password. The hacking software program can guess
1,000,000 passwords per second. What is the software's minimum time for guessing the password? [2]
(c) A hacker uses a software program to guess the password. The hacking software program can guess
1,000,000 passwords per second. What is the software's maximum time for guessing the password? [2]
(d) What is the probability of the software program guessing the password in the first 0.5 seconds? [2]
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