Please Answer ALL Parts

Project 1: Fortuna's Five-Card Draw Minerva and Fortuna are playing poker, just a typical Friday night. Fortuna, constantly blindfolded, decides to go all in. Minerva, as per usual, ruins the game by pulling chalkboard and deriving all the odds against different hands to make her decision. Your job is to help Minerva correctly derive these values. This project will cover and reinforce topics from chapter two. The project will be broken down into directives Directive 1: Compute Counts This is the hardest part of the project. You will need to thoroughly explain your reasoning for how you have obtained your counts. If you would like an example, recall the Ema's three-draw toys problem covered earlier. You will need to provide an explanation for every step of your computation, remember you are explaining your reasoning here. Some help (in case you are not familiar with poker, worst to best): Nothing/No Pair/High Card - This is a hand that does not fall into any other category type above. One Pair - Contains two cards of the same rank and three other cards of other ranks (such that this hand does not fall into any other category types). For example: two 10s, one Jack, one 2, and one 7. . Two Pair - Contains two cards of the same rank, two cards of a similar rank (but different than the first pair), and one card of another rank. For example: two Jacks, two Queens, and one 4. Three of a Kind - Contains three cards of the same rank and two cards of other ranks (such that this hand does not fall into any other category type). For example: three Aces, one 5, and one King. 5. Straight (excluding Straight Flush and Royal Flush) - Contains five cards of sequential rank, not all the same suit. For example: 5 of hearts, 6 of diamonds, 7 of spades, 8 of clubs, and 9 of hearts. D. Flush (excluding Straight Flush and Royal Flush) - Contains five cards of the same suit, not all sequential rank. For example: 8, 9, King, Jack, and 5 of clubs. 7. Full House - Contains three cards of the same rank and two cards of a similar rank (but different than the first set). For example: three Kings and two Queens. . Four of a Kind - Contains four cards of the same rank and one card of another rank. For example: Four Aces and one 3 . Straight Flush (excluding Royal Flush) - Contains five cards of sequential rank from the same suit. For example: 5, 6, 7, 8, and 9 of hearts. 10. Royal Flush - A straight flush with Ace high, i.e. Ace, King, Queen, Jack, and 10 of the same suit. Directive 2: Find Poker Probabilities This directive is quite simple. Convert the counts above into probabilities. Make sure to explain your reasoning and provide answers for each type of hand. Directive 3: Obtain Odds Against After obtaining the probabilities for each type of hand, you can obtain the odds against it via the following: odds against = (1 - Phand) odds against: 1. Phand Make sure to explain your reasoning and provide answers for each type of hand