We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is the probability that (a) all letters are different? (b) there are no vowels? (c) the word begins with a vowel?

We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is the probability that (a) all letters are different? (b) there are no vowels? (c) the word begins with a vowel?

Name: 5. We write randomly a word of length 4 using the letters from alphab
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 5. We write randomly a word of length 4 using the letters from alphabet {a, b, c, d, e}. What is theprobability that(a) all letters are different?(b) there are no vowels?(c) the word begins with a vowel?[Ans.24/125 = 0, 192; 81/625 = 0, 1296; 2/3 ]

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

Om a sign showing the word 'TOGETHER', all eight letters are removed and then put back in a random order.(a) What is the probability that the sign still reads 'TOGETHER'? (b) What is the probability that the three vowels stand together in the new arrangement?
Q6- The average number of typographical errors on a page of a certain magazine is 0.02. What is the probability that the next 50 pages you read contains a) At most 3 errors b) exactly 3 errors?
dashrath
An um contains 2 red balls, 2 green balls, and 8 yellow balls. Three balls are drawn at random, with replacement. What is the probability of drawing two yellow balls in a row, followed by a red ball? Answers should be decimals correct to three decimal places QUESTION S An um contains 2 red balls, 2 green balls, and 7 yellow balls Three bats are drawn at random, without replacement. What is the probability of drawing two yellow balls in a row, followed by a red ball? Answers should be decimals correct to three decimal places
from a group of 6 students A ,B,C,D,Eand F ,three students are randomly selected n the commitee find the probability that A is in the comiitee but B is not in the commitee
A number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. A is represented by the event that the number picked is greater than 7. What is the probability of the complement of event A? Responses
A shipment of 40 inexpensive digital watches, including 6 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in K the sample are found defective. What is the probability that the shipment will be rejected? The probability the shipment will be rejected is (Simplify your answer Type an integer or decimal rounded to two decimal places as needed) ***
An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly (a) all 4 problems? 0.2545(b) at least 3 problems.
A fruit bowl contains 3 apples, 5 oranges and 2 peaches. If a piece of fruit is selected at random from the bowl, what is the probability that the fruit is?