According to the U.S. Statistical Abstract, the probability of a high school student playing on a sports team was 0.65 for white males, 0.56 for white females, 0.68 for black males, and 0.40 for black females. Assume that the composition of high school students was 0.43 white males, 0.43 white females, 0.07 black males, and 0.07 black females.
a. Was playing on a sports team independent of race and gender group?
b. What was the overall probability of a high school student playing on a sports team?
c. Given that a high school student played on a sports team, what was the probability of being a white male?