$1$ You decide to invest in a portfolio consisting of $30$ percent Stock A$,47$ percent Stock B$,$ and the remainder in Stock C$.$ Based on the following information, what is the variance of your portfolio?

$\backslash$table$[[\backslash$table$[[$State of$],[$Economy$]],\backslash$table$[[$Probability of$],[$State of Economy$]],$Return if State occurs$],[$Stock A$,$Stock B$,$Stock C$],[$Recession$,\mathrm{.}114,-10\mathrm{.}10\%,-3\mathrm{.}50\%,-12\mathrm{.}50\%$