A dart is thrown at a board and is equally likely to land in any one of

Question:

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),

(d) P(A/B),

(e) P(B/C),

(f) P(C/A).

Which two events are mutually exclusive? Which two events are statistically independent?

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