Referring to Drill Problem 6.3, find the following:
(a) P(A|B);

(b) P(B|A);

(c) P(A|C);

(d) P(C|A);

(e) P(B|C);

(f) P(C|B);

Data From Problem 6.3

In tossing a single six-sided fair die, event A = {1 or 3}, event B = {2 or 3 or 4}, and event C = {4 or 5 or 6}. Find the following probabilities:

(a) P(A);

(b) P(B);

(c) P(C);

(d) P (A ∪ B);

(e) P (A ∪ C);

(f) P (B ∪ C);

(g) P (A ∩ B);

(h) P (A ∩ C);

(i) P (B ∩ C);

(j) P (A ∩ (B ∩ C));

(k) P (A ∪ (B ∪ C)).