Finite Mathematics Homework Help

5.A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13
denominations (2, 3, 4, … , 10, Jack, Queen, King, Ace) and one of four suits (Spades, Hearts, Diamonds,
Clubs).
Determine the probability of drawing a “Full House” (three cards of one denomination and two cards of
another denomination). 

6.A poker hand consists of five cards drawn from a deck of 52 cards. Each card has one of 13
denominations (2, 3, 4, … , 10, Jack, Queen, King, Ace) and one of four suits (Spades, Hearts, Diamonds,
Clubs).
Determine the probability of drawing “Two Pairs” (two cards of one denomination, two cards of a
different denomination, and one card of a denomination other than those two denominations).