3-4. A fair pair of (six-sided) dice is tossed and the values of the faces showing are...

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3-4. A fair pair of (six-sided) dice is tossed and the values of the faces showing are observed. List the points or simple events with coordinates (I, II) in the sample space S, where “I” denotes the outcomes on the first die and “II”
denotes the outcome on the second die. Let us define four subsets of S as:
A: the second die shows odd B: the first die shows even C: at least one number in the pair is odd D: the sum of the faces is at least 8 Then list the simple events in

(a) B

(b) A ∪ C

(c) B ∪ D

(d) A ∩ C

(e) B ∩ D

(f) A ∪ C (g) B ∪ D (h) A ∩ B Are B and C mutually exclusive?

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