1, An experiment involves tossing a pair of dice, one green and one red, and recording the numbers thatcome up. If x equals the outcome on the green die and y the outcome on the red die, describe...

1, An experiment involves tossing a pair of dice, one green and one red, and recording the numbers thatcome up. If x equals the outcome on the green die and y the outcome on the red die, describe thesample space S(a) by listing the elements (x, y);(b) by using the rule method.2. For the sample space of ExercIse 1,(a) list the elements corresponding to the event A that the sum is greater than 8; (b) list the elementscorresponding to the event B that a 2 occurs on either die; (c) list the elements corresponding to theevent C that a number greater than 4 comes up on the green die;(d) list the elements corresponding to the event A n C;(e) list the elements corresponding to the event A n B;(f) list the elements corresponding to the event B n C;(g) construct a Venn diagram to illustrate the intersections and unions of the events A, B, and C.