Answer the question

Alice and Daisy are playing a round of a dice game. Alice, the attacker, and rolls a fair 6-sided die (equal probability for any of 1,. . . ,6). Daisy, the defender, has home advantage. She rolls a fair 8-sided die (equal probability for any of 1,. . . ,8). The player that rolls the higher number wins the round. Let A be the result of Alice's die, and D be the result of Daisy's die. (a) Describe the sample space 9 of the rolls of the two dice. (b) What is the cardinality of the sample space, #9? (c) Find P(D Z 7) (d) Find P(A > D) by counting. (e) Find P(A = D) by counting. (f) Calculate P(A