Question: Consider the following experiment involving four urns. A ball is chosen from urn A, which contains six balls labeled B, three balls labeled C, and three balls labeled D. The letter drawn specifies the urn from which a second drawing is made. Urn B contains five red and five white balls. Urn C contains four red and six white balls. Urn D contains two red and eight white balls.
a. Construct a sample space and probability assignment that describes the experiment.
b. Given that the second ball drawn is red, what is the conditional probability that the first drawing yielded B?
c. Are the two events "first ball labeled C" and "second ball red" independent?
d. Are all results of the first drawing statistically independent of the result of the second drawing?