For the sample space of Exercise 2.4: (a) list the elements corresponding to the

Question

For the sample space of Exercise 2.4:
(a) list the elements corresponding to the event A that the sum is greater than 8;
(b) list the elements corresponding to the event B that a 2 occurs on either die;
list the elements corresponding to the event C that a number greater than 4 comes up on the green die
(d) list the elements corresponding to the event An
(«) list the elements corresponding to the event AC
(0 list the elements corresponding to the event BC (g) construct a Venn diagram to illustrate the intersec-
tions and unions of the events A. B. and C.

Explanation / Answer

(a) A = {(3,6),(4,5),(4,6),(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)}. (b) B = {(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(2,1),(2,3),(2,4), (2, 5), (2, 6)}. (c) C = {(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}. (d) AnC ={(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)}. (e) A n B = f. (f) BnC ={(5,2),(6,2)}.

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