Problem 1: (45%) We take out a subset from a deck of poker cards by retaining 1's, 2's, 3's, 4's, 5's, 6's, and 7's and discarding the rest of them. Hence we can form a \"ZS-card deck" accordingly. (3) What is the total number of outcomes for a player to randomly draw ve cards from this deck of 28 poker cards? Justify your answer mathematically. (15%) (b) What is the probability for a player to draw a \"Four of a Kind\" from this deck of 28 poker cards? Justify your answer mathematically. (15%) (c) What is the probability for a player to draw a \"Full House\" from this deck of 28 poker cards? Justify your answer mathematically. (15%)