Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 5 - Section 5.6 - Assess Your Understanding - Applying the Concepts - Page 312: 25b

Answer

$P(win~the~Jubilee~game~twice)=\frac{1}{497871360000}\approx0.000000000002009$

Work Step by Step

$P(win~the~Jubilee~game)=\frac{1}{705,600}$ $P(win~the~Jubilee~game~twice)=P(win~the~first~Jubilee~game~and~win~the~second~Jubilee~game)$ 1) not a single event 2) AND 3) independent events Use the Multiplication Rule for Independent Events (page 282): $P(win~the~Jubilee~game~twice)=P(win~the~first~Jubilee~game~and~win~the~second~Jubilee~game)=P(win~the~first~Jubilee~game)\times P(win~the~second~Jubilee~game)=\frac{1}{705,600}\times\frac{1}{705,600}=\frac{1}{497871360000}\approx0.000000000002009$
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