Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 3 - Probability - Section 3.1 Basic Concepts of Probability and Counting - Exercises - Page 140: 11

Answer

(b) 0.05

Work Step by Step

There are two possible values for a coin: tail or head. There are ten numbers from 0 to 9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. By the Fundamental Counting Principle (page 132): There are: $2\times10=20$ ways to toss a coin and select a number from 0 to 9. But, tossing tails and selecting a 3 is one of the 20 possibilities. So, by the classical probability (page 134): $P(tossing~a~tails~and~selecting~a~3)=\frac{1}{20}=0.05$
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