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...

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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, three white ones, and one purple one. She grabs six of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at most one green one.
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, fivewhite ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has all the red ones.
Suppose there are 10 candidates in an election. After the election, an ordered list is published of the top three candidates. How many possibilities are there for this list? Rihanna and Justin are queueing with 6 more people at Ground café. What is the probability that one will be in front of the other in the queue? Briefly explain your answer. A group of five people get on a bus at stop A. There are 10 stops after stop A. The five people choose which stop to get off at independently of each other and each person randomly chooses one of the 10 stops to get off. What is the probability that they are all going to get off the bus at different stops? Explain your answer.
A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, twowhite ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has all the red ones.
A box contains 50 balls, exactly ten of them are red and the others are black. If five balls are chosen at random from the box: а. Find the probability that all of them are black b. Knowing that the first two balls are red, what is the probability that the third one is black? С. What is the probability that the second ball is red
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
A six-sided die with faces labeled 1 to 6 will be rolled once. The six possible outcomes are listed. Note that each outcome has the same probability. Complete parts a through c. Write the probabilities as fractions.
b and c
Jeri is listening to the songs on a new CD in random order. She will listen to two different songs, and will buy the CD if she likes both of them. Assume that there are 10 songs on the CD and that she would like 5 of them. Before she had listened to any of the songs on the CD, what would have been the probability that she would buy the CD? Hint: To find this probability, first find the number of combinations of 2 out of the 5 songs that she likes (how many different combinations of 2 out of the 5 songs are there?). Then find the number of combinations of 2 out of the 10 songs on the CD (how many different combinations of 2 songs can she pick from the CD?). Take the number of combinations of the 5 songs she likes and divide that by the number of combinations of the 10 songs.. Question 7 options: A. 10/45 or 22% B. 10/120 or 8.3% C. 4/9 or 44% D. 45/10 or 450%

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