Question

1. In a standard five-card draw poker, each player receives 5 cards from a standard deck of 52 cards. Some possible hands in this game are su d in Table 1 below1 (a) Create a sample space to describe all possible hands Bill can play with Let E be the event that the hand contains at least two cards of the same rank and F be the event that the hand contains at least three cards of the same rank (b) The cards Bill got in the first round are mathematically described by the event EnF. What are the possible hands (from Table 1) that Bill could be playing with? (c) Repeat (b), but now with EUF. (d) Repeat (b), but now with E\F. Hand Royal flush Four of a kind Full house Flush Straight Three of a kind Two pair One pair High han<d Explanation Five cards of the same suit in sequence All four kinds of the same rank Three of a kind with a pair Example Any five cards of the same suit, not in sequence3, AV, 29, Ky, 10 Five cards in sequence, not all of the same suit - .9鸁10. ./A Exactly three cards of the same rank Two different pairs One pair of the same rank None of the above, plays with highest card | 20, 87, 10 К A◇ Table 1: Standard poker hands, from strongest to weakest

Answer 1