Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 10 Counting Methods and Probability - 10.3 Define and Use Probability - 10.3 Exercises - Problem Solving - Page 703: 38



Work Step by Step

We know that if we want to select $r$ objects out of $n$ disregarding the order, we can do this in $_nC_r=\frac{n!}{(n-r)!r!}$ ways. Here we have $_{30}C_{12}$ choices for the jury, out of this $_{18}C_{12}$ consist only of women, thus the probability: $\frac{_{18}C_{12}}{_{30}C_{12}}=\frac{18564}{86493225}=0.00021463$
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