Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - Chapter Test - Page 791: 18

Answer

P(blue then blue)= $\frac{1}{35}$

Work Step by Step

The marbles are not replaced, so the events are dependent: 3 of the 15 marbles are blue: P(blue)=$\frac{3}{15}$=$\frac{1}{5}$ 2 of the 14 remaining marbles are blue: P(blue after blue)=$\frac{2}{14}$=$\frac{1}{7}$ P(blue then blue)=P(blue) $\times$ P(blue after blue) P(blue then blue)=$\frac{1}{5}$ $\times$ $\frac{1}{7}$= $\frac{1}{35}$ P(blue then blue)= $\frac{1}{35}$
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