Answer
$P(both~same~race)=\frac{6183}{7285}\approx0.8487$
Work Step by Step
The sample space: $3026+573+53+57+208+3034+12+49+54+28+97+7+30+27+4+26=7285$ cases. That is:
$N(S)=7285$
Now:
$N(both~white)=3026$
$N(both~black)=3034$
$N(both~other)=97$
$N(both~Unknown~race)=26$
$P(both~same~race)=P(both~white~or~both~black~or~both~other~or~both~Unknown~race)=P(both~white)+P(both~black)+P(both~other)+P(both~Unknown~race)=\frac{N(both~white)}{N(S)}+\frac{N(both~black)}{N(S)}+\frac{N(both~other)}{N(S)}+\frac{N(both~Unknown~race)}{N(S)}=\frac{3026}{7285}+\frac{3034}{7285}+\frac{97}{7285}+\frac{26}{7285}=\frac{6183}{7285}\approx0.8487$
