So, with the remaining problems 2, 3, and 4, how do I show the probability by repeating digits? 2) 2773? 3) 8338? 4) 6444?

A First Course in Probability (10th Edition)
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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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When Miguel starts his new job, what is the probability that the last four digits of his new office phone number will contain the same digits with the same frequency as the last four digits of his cell phone number if the last four digits of his cell phone number are:

1) 3278?

We know there are 4 different digits from 3278, and we know the total amount of digits is 0-9 which is a total of 10. So, working out problem one is shown the following below:
4!/10^4 = (4∙3∙2∙1)/10000 = 24/10000 = 3/1250 = 0.0024

So, with the remaining problems 2, 3, and 4, how do I show the probability by repeating digits?

2) 2773?
3) 8338?
4) 6444?

Expert Solution
Step 1

There are total 10 digit are possible(0-10) for each of last four digits.

Here we use Total Arrangement and Counting .

Probability = (No of Favorable Outcomes) / Total outcomes 

 

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