After Completing an Inventory of Three Warehouses, a Golf Club

Multiple Choice

After completing an inventory of three warehouses, a golf club shaft manufacturer described its stock of 12,246shafts with the percentages given in the table. Suppose a shaft is selected at random from the 12,246 currentlyin stock, and the warehouse number and type of shaft are observed. Given that the shaft is produced inwarehouse 2, find the probability it has an extra stiff shaft. $\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad Type of Shaft }\\\begin{array} { c c c c c } \hline & & \text { Regular } & \text { Stiff } & \text { Extra Stiff } \\\hline& 1 & 19 \% & 8 \% & 17 \% \\ \text { Warehouse } & 2 & 14 \% & 8 \% & 14 \% \\& 3 & 2 \% & 18 \% & 0 \% \\\hline\end{array}\end{array}$

A) $0.389$
B) $0.452$
C) $0.264$
D) $0.53$