Declan Stacy

 Math (Spring 2020 - Spring 2021), dstacy10@stuy.edu
Problem Solving

Poker

by Declan Stacy | August 2021

This article will summarize the work of different people in trying to solve different types of Texas Hold'em Poker, specifically cash limit games and no-limit tournaments.

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Problem Solving

A Combinatorial Identity

by Declan Stacy | March 2021

Let S be the set of n-tuples A=(a_1, a_2, ..., a_n) such that a_i >=0. A summation question and solution.

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Research

Friends Problem

by Declan Stacy | Feb 2021

A presentation of a solution and generalization of the friends problem through the use of random variables, probability distributions, and expectation.

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Problem Solving

Marbles

by Declan Stacy | Feb 2021

Johnny has a bag of marbles with n red marbles and n blue marbles. What is the probability that he goes through the entire bag before stopping?

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Problem Solving

Conditional Probability

by Declan Stacy | June 2020

An introduction to conditional probability and the most important theorems relating to it. At the end, there are interesting problems to try and solutions.

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Problem Solving

Conditional Probability Problem Set

by Declan Stacy | June 2020

Solutions to the Conditional Probability Problem Set

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