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: 24

Answer

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