Given the following information, what is the variance of the returns on a portfolio that is invested $40$ percent in both Stocks A and B$,$ and $20$ percent in Stock C$?$

$\backslash$table$[[$State of$,$Probability of$,$Rate of Return if State occurs:,$],[$Economy$,$State occurring,$\backslash$table$[[$Stock A$],[$Stock B$]],$Stock C$,],[$Boom$,\mathrm{.}08,15\mathrm{.}8,(\%),(\%)$