Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 4 - Probability - 4-6 Counting - Basic Skills and Concepts - Page 182: 24


$\frac{1}{100,000,000}$, unlikely

Work Step by Step

There are 100 possible numbers, so by using the fundamental counting rule we can get the number of possibilities: $100\times100\times100\times100=100,000,000$. We also know that $probability=\frac{number \ of \ good \ outcomes}{number\ of\ all\ outcomes}$, therefore $P=\frac{1}{100,000,000}$. This is a lot of opportuities, so it is very unlikely to open the safe with random tries.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.