A bowl contains three red chips and five blue chips. Two chips are drawn successively, at random and without replacement. Calculate the probability that the first chip drawn is red and the second...

A bowl contains three red chips and five blue chips. Two chips are drawn successively, at random and without replacement. Calculate the probability that the first chip drawn is red and the second blue.

Two events, D and E, are found to have the following probability relationships: P(D) = 1/3, P(E) = 1/4, and P(D or E) = 1/2. Calculate the following probabilities: (a) P(D and E), (b) P(D/E), and (c) P(E/D).

Two events A and B are found to have the following probability relationships: P(A) = 1/3, P(B) = 1/2, and P(A or B) = 3/4. Calculate the following probabilities: (a) P(A/B), (b) P(B/A), (c) P(B’/A’), and (d) P(A’/B’).