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]
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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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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