In the article "Judicial Dispositions of Ex-Parte and Domestic Violence Protection Order Hearings: A Comparative Analysis of Victim Requests and Court Authorized Relief" (Journal of Family Violence, Vol. 20, No. 3, pp. 161-170), D. Year wood looked at the discrepancies between what a victim of domestic violence requests and what the courts reward. The following contingency table cross-classifies, by race and gender, a sample of 407 domestic violence protective orders from the North Carolina Criminal Justice Analysis Center.

Compute the following conditional probabilities directly; that is, do not use the conditional probability rule. One of these protective orders is selected at random. Find the probability that the order was filed by
a. A Black.
b. A white female.
c. A male, given that the filer was white.
d. A male, given that the filer was Black.

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Race White Black Other Male Gi Female 30 26 056 210 121 20 351 Total 240 147 20 407