Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 4 - Probability - 4-6 Counting - Page 182: 24


$\frac{1}{100,000,000}$, doesn't seem feasible.

Work Step by Step

There are 100 numbers, so by using the fundamental counting rule we can get the number of possibilities: $100\cdot100\cdot100\cdot100=100,000,000$. 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 opportunities, so it is doesn't seam feasible to open the safe with random tries.
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