2.4 An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S (a) by listing the elements (x,y); (b) by using the rule method. 2.8 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; (c) 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 AC; (e) list the elements corresponding to the event AB; (f) list the elements corresponding to the event BC; (g) construct a Venn diagram to illustrate the intersections and unions of the events A,B, and C