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Assignment 3: Probability The Situation You are playing Texas Hold’em against one other opponent. Your two down cards are 6 of (diamonds) & 7 of (diamonds). The first three cards to come up are 3 of...

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  • Assignment 3: Probability

The Situation
You are playing Texas Hold’em against one other opponent.
  • Your two down cards are 6 of (diamonds) & 7 of (diamonds).
  • The first three cards to come up are 3 of (diamonds), 4?9?.
  • The next card to come up is 10 of (diamonds).
You and your opponent have both already bet $24,000 into the pot each. Your opponent now adds $10,000 to the pot. You only have $10,000 left in total.
While you consider what to do, your opponent, in an effort to rattle you, reveals his down cards. They are 10?10?.
The Problem
Should you call his bet by tossing the rest of your money into the pot, or should you fold and give up the pot to your opponent?
Remember your opponent has at least a pair of 10s. What cards could come up to make your hand better? What could come up to make your opponent’s hand better? Is there any way you could tie each other? Also look at the expected value of the game. If you fold, you are assured a loss of $24,000. Make sure this fact is used in your analysis.
Write a 1-2 page paper in which you:
  1. Explain your strategy for solving the problem.
  2. Explain why your strategy will work.
  3. Execute your strategy showing your mathematical work.
  4. Draw conclusions from your work.
Your assignment must:
  • Be typed, double spaced, using Times New Roman font (size 12), with one-inch margins on all sides. Check with your professor for any additional instructions.
  • Include a cover page containing the tile of the assignment, the student’s name, the professor’s name, the course title, and the date. The cover page is not included in the required assignment page length.
The specific course learning outcomes associated with this assignment are:
  • Differentiate between circumstances requiring permutations and those requiring combinations.
  • Use technology and information resources to research issues in algebra.
  • Write clearly and concisely about algebra using proper writing mechanics.

Grading for this assignment will be based on answer quality, logic/organization of the paper, and language and writing skills, using the following rubric.

Points: 15
Assignment 3: Probability
Criteria
Unacceptable
Below 60% F
Meets Minimum Expectations
60-69% D

Fair
70-79% C

Proficient
80-89% B

Exemplary
90-100% A
1. Explain your strategy for solving the problem.
Weight: 25%
Did not submit or incompletely explained your strategy for solving the problem. Insufficiently explained your strategy for solving the problem. Partially explained your strategy for solving the problem. Satisfactorily explained your strategy for solving the problem. Thoroughly explained your strategy for solving the problem.
2. Explain why your strategy will work.
Weight: 25%
Did not submit or incompletely explained why your strategy will work. Insufficiently explained why your strategy will work. Partially explained why your strategy will work. Satisfactorily explained why your strategy will work. Thoroughly explained why your strategy will work.
3. Execute your strategy showing your mathematical work.
Weight: 20%
Did not submit or incompletely executed your strategy showing your mathematical work. Insufficiently executed your strategy showing your mathematical work. Partially executed your strategy showing your mathematical work. Satisfactorily executed your strategy showing your mathematical work. Thoroughly executed your strategy showing your mathematical work.
4. Draw conclusions from your work.
Weight: 20%
Did not submit or incompletely drew conclusions from your work. Insufficiently drew conclusions from your work. Partially drew conclusions from your work. Satisfactorily drew conclusions from your work. Thoroughly drew conclusions from your work.
5. Clarity, writing mechanics, and formatting requirements
Weight: 10%
More than 8 errors present 7-8 errors present 5-6 errors present 3-4 errors present 0-2 errors present

Answered Same Day Dec 20, 2021

Solution

David answered on Dec 20 2021
125 Votes
Strategy of playing the game :
Strategy of playing the game :
First of all,we need to check the number of possibilities of me winning the hand.
Card that could make my hand better :
Right now, my opponent has a 3 of a kind. A flush or a straight beats a three of a kind:
Spades: 5, 8
Hearts: 5, 8
Diamonds: 2, 5, 8, J, Q, K, A
Clubs: 5, 8
My opponent...
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