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Description

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# Summary

Within computational science a Monte Carlo simulation is often used to create a statistical analysis of expected outcomes. As with many Monte Carlo simulations that calculate the estimated probability of a scenario’s occurrence, the more simulations that are completed the closer the approximation will become to the theoretical probability. In many cases a single simulation corresponds to a single iteration of the simulation loop.

Estimated probability is the calculated estimate of the theoretical probability of a scenario. To calculate an estimated probability we take the number of occurrences for a scenario and divide by the number of possible occurrences (the number of simulations).

In this project we will calculate the occurrences of a scenario based on observations for each simulation. First, we calculate the estimated probability of rolling a value (the sum of the rolled dice). For example, with two 6-sided dice if we rolled a 2 and a 5 then the observed roll value is 7. Second, we will count the number of times rolling repeated individual die values occurred. For example, with two 6-sided dice this count will report the number of doubles rolled such as rolling two dice and getting 3 and 3.

## Project Objectives

This project will further student understanding of the following concepts:

- Monte Carlo simulations
- scripts with local functions
- user defined functions
- using functions
- arrays
- branches
- loops
- counting

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