Math Problem Solver

2.8 For the sample space of (Exercise 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.)

(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 A ∩ C;

(e) list the elements corresponding to the event A ∩ B;

(f) list the elements corresponding to the event B ∩ C;

(g) construct a Venn diagram to illustrate the intersections and unions of the events A, B, and C.