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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Ex 2: Suppose, that we have the following set of letters {a,b, b, c, e, e, e, f, i, i, l, n, q, q, r, s, t, u, y} From this set of letters, 9 letters are sequentially selected. Find the probability that selected 9 letters form the word "frequency"?
a) what is the probability that neither hits the bullseye b) the probability that Adam hits the bullseye and Sandy doesn’t
a) In a pastry shop in a small town, the probability that a customer buys apple tarts is 0.45, the probability they buy an apple pie is 0.69 and the probability that they buy both an apple tart and an apple pie is 0.27. A customer is chosen at random. i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they also buy an apple tart?
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.
Please answer 9 and 10
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?
In roulette, a wheel is divided up into slots of equal area. each slot is labeled with one of the numbers from 0 through 36, and one slot is labeled with a 00. half the slots are red, and half the slots are black. when the wheel is spun, it lands on one of these slots.( the problem is complete.) (a) if the wheel is spun three times, find the probability it lands on a 17 twice, and then a red slot.(b) if the wheel is spun three times, find the probability it does not land on the 00 slot all 3 times.(c) if the wheel is spun three times, find the probability it lands on a slot other than 00 all three times.
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
A number between 1 and 100 including 1 and 100 is drawn at random. Answer the following questions: 1) What is the probability that the number drawn was greater than 87 given that the number contained a 9? 2) Given that the number was greater than 87, what is the probability that the number had a 9?
A) From a city population, the probability of selecting a male or graduate is 0.65, a male and a graduate is 0.42, a male given that he is a graduate is 0.64, then find the probability of selecting a non graduate?
Use the following information to answer the question. The mean age of lead actors from the top ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the distribution of the actors ages is approximately unimodal and symmetric. 53) Between what two values would you expect to find about 95% of the lead actors ages? A) 26.53 and 46.27 years C) 16.66 and 56.14 years B) 6.87 and 66.01 years D) None of these Use the following information to answer the question.

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