The Hardy-Weinberg equation is:
$p^2 + 2pq + q^2 = 1" "$ and also$" "p+q=1$
One double recessive afflicted individual means there are two individuals among
$q^2=0.002$
$q = 0.0447$
Then
$p + q = 1$
$p = 1 - q$
$p = 0.9553$
$p^2 = 0.9126$
$2pq = 2(0.9553)(0.0447) = 0.0854$
Thus
Double Check:
$0.9126 + 0.0854 + 0.002 = 1$