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

$0.00021463$

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: $\frac{_{18}C_{12}}{_{30}C_{12}}=\frac{18564}{86493225}=0.00021463$