Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 5 - Section 5.5 - Assess Your Understanding - Applying the Concepts - Page 306: 39b

Answer

The probability of entering the correct code on the first try is $\frac{1}{10,000}=0.0001$.

Work Step by Step

The sample space: 10,000 different four-digit codes. So, N(S) = 10,000. There is only one correct four-digit code. So, N(correct code) = 1. Using the Classical Method (see page 259): $P(correct~code)=\frac{N(correct~code)}{N(S)}=\frac{1}{10,000}=0.0001$
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