At a local high school, $20\%$ of the teachers do not have a class period $1,32\%$ do not have a class period $9,$ and $3\%$ do not have a class both periods $1$ and $9.$ A teacher is chosen at random from JJHS$.$ What is the probability that the teacher does not have a class period $1$ if he does not have a class period $9?$a$.0\mathrm{.}0148$b$.0\mathrm{.}0938$C$\mathrm{.}0\mathrm{.}490$d$\mathrm{.}0\mathrm{.}625$e$.0\mathrm{.}150$