Answer
a. $0.359$
b. $0.207$
c. $0.959$
d. $0.305$
Work Step by Step
Calculate the sums of all rows and columns.
Total = 17927
a. What is the probability that it was from Ethiopia given that it was from 2010?
total from 2010=6996, $p=2513/6996=0.359$
b. What is the probability that it was from Russia and in 2006?
$p=3706/17927=0.207$
c. What is the probability that it did not occur in 2006 and was not from Ethiopia?
P(2006 and Ethiopia)=$732/17927=0.041$, P(not2006 and not Ethiopia)=$1-0.041=0.959$
d. Choose two adoptions at random; what is the probability that they were both from China?
P(China)=$9894/17927=0.552$ As the total is large, the two adoptions can be regarded as independent.
P(2 from China)=$0.552^2=0.305$