A dart is thrown at a board and is equally likely to land in any one of eight squares numbered 1–8 inclusive. Let A  Event dart lands in square 5 or 8; B = Event dart lands in square 2, 3, or 4; and C...

A dart is thrown at a board and is equally likely to land in any one of eight squares numbered 1–8 inclusive. Let A
 Event dart lands in square 5 or 8; B = Event dart

lands in square 2, 3, or 4; and C
Event dart lands in square 1, 2, 5, or 6. From this information calculate the following probabilities: (a) P(A ∩ B), (b) P(A and C), (c) P(B and C), (d) P(A/B), (e) P(B/C), and (f) P(C/A). Which two events are mutually exclusive? Which two events are statistically independent?