Event Title

Combinatorics of Card Collecting Games

Faculty Mentor

Kristen Abernathy, Ph.D.

College

College of Arts and Sciences

Department

Mathematics

Location

DiGiorgio Campus Center, Room 220

Start Date

24-4-2015 1:20 PM

Description

Card collecting games involve a mechanic often referred to as gacha-fuse-evolve where players randomly draw items with different levels of rarity that can subsequently be fused and evolved to create stronger items. Fusion, putting two different cards together, and evolution, putting two identical cards together, can be used to create new, stronger cards known as unique and recipe cards respectively. We use combinatorial methods to create a model that calculates the probability of a player creating a unique card or a recipe card given the number of cards in a deck, the number of cards chosen over a certain time period, and the number of cards of each level of rarity in the deck. We also develop a C++ program that runs simulations to generate data and test our analytic model.

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Apr 24th, 1:20 PM

Combinatorics of Card Collecting Games

DiGiorgio Campus Center, Room 220

Card collecting games involve a mechanic often referred to as gacha-fuse-evolve where players randomly draw items with different levels of rarity that can subsequently be fused and evolved to create stronger items. Fusion, putting two different cards together, and evolution, putting two identical cards together, can be used to create new, stronger cards known as unique and recipe cards respectively. We use combinatorial methods to create a model that calculates the probability of a player creating a unique card or a recipe card given the number of cards in a deck, the number of cards chosen over a certain time period, and the number of cards of each level of rarity in the deck. We also develop a C++ program that runs simulations to generate data and test our analytic model.