A computer system uses passwords that contain exactly 20 characters, and each character is one of the 26 lowercase letters (a-z)or 26 uppercase letters (A-Z) or 10 integers (0-9). Let denote the set of all possible passwords, and let A and B denote theevents that consist of passwords with only letters or only integers, respectively.Suppose that all passwords in are equally likely. Determine the following probabilities.Round your answers to three decimal places (e.g. 98.765).(a) P(A|B') = i(b) P(A' n B') = i(c) The probability that password contains exactly 2 integers given that it contains at least 1 integer.P =i

Answered: Image /qna-images/answer/044a006b-22c7-4034-ac12-0c4204682338.jpg

Answered: A computer system uses passwords that…

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...

See similar textbooks

Similar questions

A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B balls, and 6 type C balls, find the probability that the golf ball is not a type A ball.
Kylie has 12 pieces of candy left in her Halloween bag. There are 8 pieces of chocolate and 4 pieces of non-chocolate. She chooses a piece of candy at random and then chooses another piece of candy, without replacement. Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks:Two pieces of chocolate No chocolate At least one piece of non-chocolate One piece of each type
A hacker is trying to guess someone's password.The hacker knows that the password is 4 digits long,and that each digit could be a number between 0 and 3.Assume that the hacker makes random guesses.What is the probability that the hacker guesses the password right on her first try?
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at least one green one.
On a shelf there are 60 novels and 20 poetry books. Person Achooses a book at random off the shelf and leaves with it. Shortly after, Person Bchooses another book at random. Calculate:a. The probability that the book selected by Person B is a novel?b. If it is known that Person B chose a novel: what is the probability that thebook selected by Person A was a poetry book?
Of the cartons produced by a company, 10% have a puncture, 4% have a smashed corner, and 1.3% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.) %.
Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to ifteen. The “caller” announces twenty winning numbers, chosen at random from the eighty. The amount won depends on how many of the called numbers match those the player chose. Suppose the player picks ten numbers. What is the probability that among those ten are six winning numbers?
Heinrik rolls two 6 sided dice at the same time. one die has three red sides and three black sides. the other die has the sides numbered from 1 to 6. by means of a tree diagram, table of outcomes of otherwise, answer each of the following questions. How many different possible combinations can he roll? What is the probability that he will roll a red and an even number? What is the probability that he will roll a red or black and a 5? What is the probability that he will roll a number less than 3?
In a standard deck, there are 52 cards. Twelve cards are face cards (F) and 40 cards are not face cards (N). Draw two cards, one at a time, without replacement. The tree diagram is labeled with all possible probabilities. Find P(FN OR NF). Find P(N|F). Find P(at most one face card). Hint: At most one face card means zero or one face card.
In a lottery, the top cash prize was $659 million, going to three lucky winners. Players pick five different numbers from 1 to 57 and one number from 1 to 42. A player wins a minimum award of $450 by correctly matching three numbers drawn from the white balls (1 through 57) and matching the number on the gold ball (1 through 42) What is the probability of winning the minimum award? The probability of winning the minimum award is (Type an integer or a simplified fraction.)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS