Natasha is given a four-digit password for her ATM account. Every ATM password uses the digits...
Natasha is given a four-digit password for her ATM account. Every ATM password uses the digits 0-9 which can be repeated in the password. What is the probability Natasha's password is 1234?
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Natasha is given a four-digit password for her ATM account.
Every ATM password uses the digits...
A password consists of one letter followed by a five-digit number. A) How many passwords are...
A password consists of one letter followed by a five-digit number. A) How many passwords are possible if none of the letters or digits can be repeated? B) What is the probability of guessing the password in one trial if there are no restrictions? (To find the probability use the definition of classical probability.)
A password consists of three letters followed by a two-digit number. (a) How many passwords are...
A password consists of three letters followed by a two-digit number. (a) How many passwords are possible if there are no restrictions? 1757600 (b) How many passwords are possible if none of the letters or digits can be repeated? (c) What is the probability of guessing the password in one trial if there are no restrictions? O A. 0.0000007123 O B. 0.0000005690 O C. 0.2 O D. 0.798816568
Suppose that a password consists of 7 single-digit numbers (0-9). You are attempting to hack into...
Suppose that a password consists of 7 single-digit numbers (0-9). You are attempting to hack into the account guarded by this password, and you write a program which just tries each possible password one at a time. If this program can try 21593 passwords per minute, what is the probability that you will be able to access the account today? Hint: there are 1,440 minutes in a day.
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9...
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}. (a) (1 pt) How many lock combinations are possible if each digit can be repeated? (b) (2 pts) If the digits in the combination cannot be repeated, then what is the probability of someone guessing the correct four-digit combination? 3
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}....
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2,...
1. (a) (i) How many different six-digit natural numbers may be formed from the digits 2, 3, 4, 5, 7 and 9 if digits may not be repeated? (ii) How many of the numbers so formed are even? (iii) How many of the numbers formed are divisible by 3? (iv) How many of the numbers formed are less than 700,000? (b) JACK MURPHY’s seven character password consists of four let- ters chosen from the ten letters in his name (all...
Problem 3.1 If each of the 10 digits 0-9 is chosen at random, how many ways...
Problem 3.1 If each of the 10 digits 0-9 is chosen at random, how many ways can you choose the following numbers? (a) A two-digit code number, repeated digits permitted. (b) A three-digit identification card number, for which the first digit cannot be a 0. Repeated digits permitted. (c) A four-digit bicycle lock number, where no digit can be used twice (d) A five-digit zip code number, with the first digit not zero. Repeated digits permitted.
The access code for a gym locker consists of three digits. Each digit can be any...
The access code for a gym locker consists of three digits. Each digit can be any number from 0 through 5, and each digit can be repeated. Complete parts (a) through (c). (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code on the first try? (c) What is the probability of not selecting the correct access code on the first try? (a) Find the number of possible access codes....
You are at a bank to setup a bank account with an ATM card. The bank...
You are at a bank to setup a bank account with an ATM card. The bank requires you to enter a 4-digit PIN, and each digit can be 0, 1, 2,... 9. Use this information and answer questions 3a and 3b Question 3b: For your own safety, the bank representative says that the following choices are prohibited: 1) all four digits identical, 2) sequence of consecutive ascending or descending digits, such as 0123 or 3210, 3) any sequence starting with...
87 A ceatain calculating machine uses only the digits o and I. It is supposed to...
87 A ceatain calculating machine uses only the digits o and I. It is supposed to transmit one of these digits through several stages. However, at every stage, there is a probability þ that the digit that enters will be changed when it leaves and a probability 2-1- that it won't. Form a Markov chain to represent the process of transmission by taking as states the digits 0 and 1. What is the probability that the machine, after two stages...
4. DIGIT PATTERNS 1 Consider a stream of decimal digits which appear to be randomly distributed...
4. DIGIT PATTERNS 1 Consider a stream of decimal digits which appear to be randomly distributed according to a Benford distribution, modified to include the digit "O": d Pr(D) 0 0.27894 0.16317 2 0.11577 3 0.08980 4 0.07337 5 0.06203 0.05374 7 0.04740 0.04240 9 0.03836 10 0.03502 (a) What are the expected time and variance to observe the digit sequence "007" ? 6 8 (b) The decimal digits of pi (pi) are thought to be random and uniformly distributed....
A password consists of three letters followed by a two-digit number. (a) How many passwords are possible if there are no restrictions? 1757600 (b) How many passwords are possible if none of the letters or digits can be repeated? (c) What is the probability of guessing the password in one trial if there are no restrictions? O A. 0.0000007123 O B. 0.0000005690 O C. 0.2 O D. 0.798816568
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}. (a) (1 pt) How many lock combinations are possible if each digit can be repeated? (b) (2 pts) If the digits in the combination cannot be repeated, then what is the probability of someone guessing the correct four-digit combination? 3
4. (3 pts) A combination lock has a four-digit combination nin^ngn4, where ni,n2, ng, and n4 are integers in {0,1,...,9}....
Problem 3.1 If each of the 10 digits 0-9 is chosen at random, how many ways can you choose the following numbers? (a) A two-digit code number, repeated digits permitted. (b) A three-digit identification card number, for which the first digit cannot be a 0. Repeated digits permitted. (c) A four-digit bicycle lock number, where no digit can be used twice (d) A five-digit zip code number, with the first digit not zero. Repeated digits permitted.
You are at a bank to setup a bank account with an ATM card. The bank requires you to enter a 4-digit PIN, and each digit can be 0, 1, 2,... 9. Use this information and answer questions 3a and 3b Question 3b: For your own safety, the bank representative says that the following choices are prohibited: 1) all four digits identical, 2) sequence of consecutive ascending or descending digits, such as 0123 or 3210, 3) any sequence starting with...
87 A ceatain calculating machine uses only the digits o and I. It is supposed to transmit one of these digits through several stages. However, at every stage, there is a probability þ that the digit that enters will be changed when it leaves and a probability 2-1- that it won't. Form a Markov chain to represent the process of transmission by taking as states the digits 0 and 1. What is the probability that the machine, after two stages...
4. DIGIT PATTERNS 1 Consider a stream of decimal digits which appear to be randomly distributed according to a Benford distribution, modified to include the digit "O": d Pr(D) 0 0.27894 0.16317 2 0.11577 3 0.08980 4 0.07337 5 0.06203 0.05374 7 0.04740 0.04240 9 0.03836 10 0.03502 (a) What are the expected time and variance to observe the digit sequence "007" ? 6 8 (b) The decimal digits of pi (pi) are thought to be random and uniformly distributed....
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