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)).