Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 7 - Section 7.2 - Probability Theory - Exercises - Page 467: 25

Answer

3/8

Work Step by Step

If the first bit contains a 1 and we want at least two consecutive 0's, then for the next three numbers, we must either have 001, 100, or 000. Since there are 8 possible strings, the conditional probability is 3/8.
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