There are two assets and three states of the economy:

$\backslash$table$[[$State of Economy,$\backslash$table$[[$Probability of State of$],[$Economy$]],$Rate of Return If State Occurs$],[$Stock A$,$Stock B$],[$Recession$,\mathrm{.}30,-\mathrm{.}20,\mathrm{.}10],[$Normal$,\mathrm{.}50,\mathrm{.}40,\mathrm{.}30],[$Boom$,\mathrm{.}20,\mathrm{.}80,\mathrm{.}50]]$

Suppose you have $$20,000$ total. If you put $$15,000$ in Stock A and the remainder in Stock B$,$ what will be the standard deviation of your portfolio? post decimal digits in your final answer$)$