If we assume that rating outcomes are independent of each other, what is the joint probability of an BBB bond staying BBB and a CCC bond staying CCC at the end of one year?

Write your answer as a percentage rounded to $4$ decimals $($i$.$e$.$ five percent should by types in as $5\mathrm{.}0000).$

One$-$year transition matrix $(\%)$

$\backslash$table$[[\backslash$table$[[$Initial$],[$rating$]],$Rating at year$-$end $(\%)],[$AAA$,$AA$,$A$,$BBB$,$BB$,$B$,$CCC$,$Default$],[$AAA$,90\mathrm{.}81,8\mathrm{.}33,0\mathrm{.}68,0\mathrm{.}06,0\mathrm{.}12,0,0,0],[$AA$,0\mathrm{.}70,90\mathrm{.}65,7\mathrm{.}79,0\mathrm{.}64,0\mathrm{.}06,0\mathrm{.}14,0\mathrm{.}02,0],[$A$,0\mathrm{.}09,2\mathrm{.}27,91\mathrm{.}05,5\mathrm{.}52,0\mathrm{.}74,0\mathrm{.}26,0\mathrm{.}01,0\mathrm{.}06],[$BBB$,0\mathrm{.}02,0\mathrm{.}33,5\mathrm{.}95,86\mathrm{.}93,5\mathrm{.}30,1\mathrm{.}17,0\mathrm{.}12,0\mathrm{.}18],[$BB$,0\mathrm{.}03,0\mathrm{.}14,0\mathrm{.}67,7\mathrm{.}73,80\mathrm{.}53,8\mathrm{.}84,1\mathrm{.}00,1\mathrm{.}06],[$B$,0,0\mathrm{.}11,0\mathrm{.}24,0\mathrm{.}43,6\mathrm{.}48,83\mathrm{.}46,4\mathrm{.}07,5\mathrm{.}20],[$CCC$,0\mathrm{.}22,0,0\mathrm{.}22,1\mathrm{.}30,2\mathrm{.}38,11\mathrm{.}24,64\mathrm{.}86,19\mathrm{.}79]]$