LetA certain text has one-third vowels and two-thirds consonants. Five letters are chosen atrandom, with replacement, and you are asked to guess the sequence. Assuming that theguesses are independent, find the probability that all guesses are correct if for each letteryou:1. guess vowel or consonant with equal probabilities2. guess vowel with probability 1/3 and consonant with probability 2/3V be the event thatC be the event thatR; be the event that the i guess is correct

Answered: Image /qna-images/answer/2dbdae5f-345a-4296-86bc-643c99453a44.jpg

Answered: A certain text has one-third vowels and…

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

There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to select two councilors for a committee. Which expression is computing the probability that if both councilors are selected at random, both will be female? a. None of the other answers is correct. b. 2C3 / 2C7 c. 3/7 d. None of the other answers is correct. e. 3C2 / 7C2 f. 3C2 / 7C3
Bob, Mary, and Jen go to dinner. Each orders 2 different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners, Let C be the event that a diner gets the correct meal and let N be the event that 2 diner gets an incorrect meal. Enumerate the sample space and then find the probability that: a.No diner gets the correct meal, b. Exactly one diner gets the correct meal. €. Exactly two diners get the correct meal. d. Allthree diners get the correct meal.
Each of the letters a through j are printed o tiles then placed in a hat. Andre selects a tile at random and then replaces it. Clare also selects a tile at random. What is the probability that Andre and Clare both select tile b?
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?
Alex has a bag of stuffed animals containing nine bears, six lions, and three monkeys. The probability that Alex will randomly pull out a bear and then a lion is .Using this probability, determine if the event of pulling out a bear and the event of pulling out a lion was independent, dependent, both, or neither. A. neither independent nor dependent B. dependent C. both independent and dependent D. independent
Show all workings - use formulas: A group consists of 10 girls and 8 boys. A team of 9 are to be selected from this group. What is the probability that the team selected will consist of 5 girlsand 4 boys, but will not include ANY of 4 specific boys?
Consider a family with 3 children. Assume the probability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5, and that the events "boy" and "girl" are independent.What is the probability that all 3 children are male? (Enter your answer as a fraction.)
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?
There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely mixed up.a. If 20 gloves are randomly selected, find the probability they include Bills’ favorite pair of gloves.b. If 20 gloves are randomly selected, what is the probability that at most one glove from each of the40 pairs will be picked? (Remember, a left glove is different from a right glove.)
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
The probability that a child will like a new flavor of ice cream is 0.72. In a group of nine children find the probability that at least 7 children like the new flavor.
A letter is first chosen at random from the word SAMPLE, and then the next letter is chosen at random from the word SET. The two letters chosen are recorded. A is the event that the first letter chosen is a vowel, and B is the event that the second letter chosen is a vowel, and C is the event that the two letters chosen are the same. Find n(C'n (A U B)). Your answer

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