Checkpoint 4.9.9. Compound events and Independence.

Given A, B, and C are independent events 4.7.1, with \(P(A) = 2/5, P(B) = 3/4,\) and \(P(C) = 1/6\text{,}\) determine:
  1. \(\displaystyle P(A \cap B \cap C)\)
  2. \(\displaystyle P(A^c \cap B^c \cap C)\)
  3. \(\displaystyle P(A \cup B \cup C)\)
Solution.
in-context