Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 13 - Counting and Probability - 13.3 Probability - 13.3 Asses Your Understanding - Page 866: 46



Work Step by Step

We know that by the addition rule of probabilities $P(A\cup B)=P(A)+P(B)-P(A\cap B)$ Substitute the given values into the formula above to obtain \begin{align*} 0.6&=0.25+0.45-P(A\cap B)\\P(A\cap B)&=0.25+0.45-0.6\\ P(A\cap B)&=0.1 \end{align*}
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