Example 2. A three-digit number (that is, a number from 100–999) is selected “at ran- dom." (“At random" means that we assume all numbers to have the same proba- bility of being selected.) What is the probability that all three digits are the same? There are 900 three-digit numbers; 9 of them (namely 111, 222, · · , 999) have all three digits the same. Hence the desired probability is 00 = 10

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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> Example 2. A three-digit number (that is, a number from 100–999) is selected "at ran-
dom." (“At random" means that we assume all numbers to have the same proba-
bility of being selected.) What is the probability that all three digits are the same?
There are 900 three-digit numbers; 9 of them (namely 111, 222, · ..
all three digits the same. Hence the desired probability is m
' , 999) have
100
Transcribed Image Text:> Example 2. A three-digit number (that is, a number from 100–999) is selected "at ran- dom." (“At random" means that we assume all numbers to have the same proba- bility of being selected.) What is the probability that all three digits are the same? There are 900 three-digit numbers; 9 of them (namely 111, 222, · .. all three digits the same. Hence the desired probability is m ' , 999) have 100
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