1) 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 6 different suits. Hence, there are 102 cards in the deck with 17 ranks for each of the 6 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 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
1) 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 6 different suits. Hence, there are 102 cards in the deck with 17 ranks for each of the 6 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 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
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2T: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink....
Related questions
Question
Please answer all part
Transcribed Image Text:1) 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 6 different suits.
Hence, there are 102 cards in the deck with 17 ranks
for each of the 6 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
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
What is the probability of being dealt exactly 1 pair?
Round your answer to 7 decimal places.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 13 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning