2. If a number between 1000 and 9999 is chosen uniformly at random, there is a 100 chance thatchance that it is divisible by 15 (likeit is a palindrome (like 2772, for example) and a2190 15146, for example). Only three numbers in this range are both palindromes anddivisible by 15: they are 5115, 5445, and 5775.What is the probability that a number between 1000 and 9999 chosen uniformly at randomis either a palindrome or divisible by 15 (or both)?

Let us define some events A : A number between 1000 and 9999 is palindrome. B : A number between…

Answered: 2. If a number between 1000 and 9999 is…

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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If there are 4 groups that are numbered 1-15, what is the probability that person 1 choosses a number strictly greater than the number of person 2? The number is picked uniformly at random. And Person 1 and person 2 can pick the same number.
1.
How large a group is needed to give a 0.5 chance of at least two people having the same birthday?
Problem 13 Three friends are taking English class that has a summer reading list. Each student is required to read one book from the list which contains 3 biographies, 10 classics and 5 historical novels. A) 13 Find the probability that first friend chooses a biography, the second chooses and the third chooses a historical novel. a classic 0.062 B) 0.026 C) 0.0026 D) 0.123
According to a theory in genetics, if tall and colorful plants are crossed with short and colorless plants, four types of plants will result: tall and colorful, tall and colorless, short and colorful, and short and colorless, with 1 9 3 3 16' 16' 16' multinomial experiment, if 10 plants are selected, find the probability that 5 will be tall and colorful, 3 will be tall and colorless, 1 will be short and colorful, and 1 will be short and colorless. iClick the icon to view more information about a multinomial experiment. corresponding probabilities of ... The probability is (Round to three decimal places as needed.) and 16 . In a
Suppose we represent with the letters B and b the genes that determine the color of a person's eyes. If the person has two b genes, the person has blue eyes; otherwise, the person has brown eyes.Find the probability that a person has two b genes, given that the person has the following eye color. a) brown eyes b) blue eyes
Suppose that the population of a certain town is made up of 40% men and 60% women. Of the men, 40% wear glasses, and of the women, 20% wear glasses. Given that a person chosen at random from this town wears glasses, what is the probability that the person is a woman? make a tree diagram
a) Suppose three people are in a room. What is the probability that there is at least one shared birthday among these three people? b) There are 4 boys and 4 girls. They sit in a row randomly. What is the chance that all the girls do not sit together. c) If you choose two numbers from 1 to 67, what is the probability that one number is greater than another? d) A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
5. Five discs, with the numbers 1 to 5 written on each of them, are placed in a bag. Two discs are drawn at ranckom from the bag and placed side by side to form a two-digit number. By drawing a possibility diagram, find the probability that the number formmed is (6) divisible by 2, (ii) divisible by 5, (iii) a perfect square.
Each multiple choice question consisting of 4 choices has just one correct answer. If a student makes random guesses, the probability of getting the correct answer is 0.25. An exam consists of 12 sequentially appearing MCQs. A student coming unprepared to the exam intends to make random choices. a. What is the probability that she gets at least 10 of them correct. b. What is the probability that she needs to attempt 8 question to get the first correct guess c. What is the probability that she has to attempt 10 to get 4 correct answers?
A safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?
1. A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks two black balls

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