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$[[\backslash$table$[[$State of$],[$Economy$]],$Probability of State,Rate of Return if State Occurs:,,$],[$Occurring$,$Stock A $(\%),$Stock B $(\%),$Stock C $(\%),],[$Boom$,\mathrm{.}08,15\mathrm{.}8,9\mathrm{.}4,21\mathrm{.}2],[$Normal$,\mathrm{.}92,10\mathrm{.}6,8\mathrm{.}6,10\mathrm{.}4]]$

Multiple Choice

$\mathrm{.}000602$

$\mathrm{.}001490$

$\mathrm{.}000153$

$\mathrm{.}000205$