"> (Answered) ) We are creating a new card game with a new deck. - Tutorials Prime

Question Details

(Answered) ) We are creating a new card game with a new deck.


) We are creating a new card game with a new deck.


) We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following.

 

Each card will have: 

 

i) One rank from 1 to 17. 

 

ii) One of 9 different suits.

 

Hence, there are 153 cards in the deck with 17 ranks for each of the 9 different suits, and none of the cards will be face cards! So, a card rank 11 would just have an 11 on it. Hence, there is no discussion of "royal" anything since there won't be any cards that are "royalty" like King or Queen, and no face cards! 

 

The game is played by dealing each player 5 cards from the deck. Our goal is to determine which hands would beat other hands using probability. Obviously the hands that are harder to get (i.e. are more rare) should beat hands that are easier to get.a) How many different ways are there to get any 5 card hand? 

 

The number of ways of getting any 5 card hand is  

 

DO NOT USE ANY COMMAS

 

b)How many different ways are there to get exactly 1 pair (i.e. 2 cards with the same rank)? 

 

The number of ways of getting exactly 1 pair is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt exactly 1 pair? 

 

Round your answer to 7 decimal places. 

 

 

 

c) How many different ways are there to get exactly 2 pair (i.e. 2 different sets of 2 cards with the same rank)? 

 

The number of ways of getting exactly 2 pair is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt exactly 2 pair? 

 

Round your answer to 7 decimal places. 

 

 

 

d) How many different ways are there to get exactly 3 of a kind (i.e. 3 cards with the same rank)? 

 

The number of ways of getting exactly 3 of a kind is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt exactly 3 of a kind? 

 

Round your answer to 7 decimal places. 

 

 

 

e) How many different ways are there to get exactly 4 of a kind (i.e. 4 cards with the same rank)? 

 

The number of ways of getting exactly 4 of a kind is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt exactly 4 of a kind? 

 

Round your answer to 7 decimal places. 

 

 

 

f) How many different ways are there to get exactly 5 of a kind (i.e. 5 cards with the same rank)? 

 

The number of ways of getting exactly 5 of a kind is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt exactly 5 of a kind? 

 

Round your answer to 7 decimal places. 

 

 

 

g) How many different ways are there to get a full house (i.e. 3 of a kind and a pair, but not all 5 cards the same rank)? 

 

The number of ways of getting a full house is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt a full house? 

 

Round your answer to 7 decimal places. 

 

 

 

h) How many different ways are there to get a straight flush (cards go in consecutive order like 4, 5, 6, 7, 8 and all have the same suit. Also, we are assuming there is no wrapping, so you cannot have the ranks be 15, 16, 17, 1, 2)? 

 

The number of ways of getting a straight flush is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt a straight flush? 

 

Round your answer to 7 decimal places. 

 

 

 

i) How many different ways are there to get a flush (all cards have the same suit, but they don't form a straight)? 

 

Hint: Find all flush hands and then just subtract the number of straight flushes from your calculation above. 

 

The number of ways of getting a flush that is not a straight flush is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt a flush that is not a straight flush? 

 

Round your answer to 7 decimal places. 

 

 

 

j) How many different ways are there to get a straight that is not a straight flush (again, a straight flush has cards that go in consecutive order like 4, 5, 6, 7, 8 and all have the same suit. Also, we are assuming there is no wrapping, so you cannot have the ranks be 15, 16, 17, 1, 2)? 

 

Hint: Find all possible straights and then just subtract the number of straight flushes from your calculation above. 

 

The number of ways of getting a straight that is not a straight flush is  

 

DO NOT USE ANY COMMAS

 

What is the probability of being dealt a straight that is not a straight flush? 

 

Round your answer to 7 decimal places. 

 


Solution details:

Pay using PayPal (No PayPal account Required) or your credit card . All your purchases are securely protected by .
SiteLock

About this Question

STATUS

Answered

QUALITY

Approved

DATE ANSWERED

Jan 02, 2020

EXPERT

Tutor

ANSWER RATING

YES, THIS IS LEGAL

We have top-notch tutors who can do your essay/homework for you at a reasonable cost and then you can simply use that essay as a template to build your own arguments.

You can also use these solutions:

  • As a reference for in-depth understanding of the subject.
  • As a source of ideas / reasoning for your own research (if properly referenced)
  • For editing and paraphrasing (check your institution's definition of plagiarism and recommended paraphrase).
This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student.

NEW ASSIGNMENT HELP?

Order New Solution. Quick Turnaround

Click on the button below in order to Order for a New, Original and High-Quality Essay Solutions. New orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

WE GUARANTEE, THAT YOUR PAPER WILL BE WRITTEN FROM SCRATCH AND WITHIN A DEADLINE.

Order Now
WP2Social Auto Publish Powered By : XYZScripts.com