-
-
Save XanNava/f13dac211d90cf2b81bc33a9758e05af to your computer and use it in GitHub Desktop.
Probability of hitting a target given the chance to reroll the lowest die
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
using System; | |
namespace Probability | |
{ | |
internal class Program | |
{ | |
private struct RollAttempt | |
{ | |
public int Result; | |
public int[] Rolls; | |
} | |
private static Random _random; | |
public static void Main(string[] args) | |
{ | |
_random = new Random(); | |
int numberOfDice = AskUser("Number of dice:"); | |
int[] number = new int[(numberOfDice * 6) + 1]; | |
int target = AskUser("Target:"); | |
int retries = AskUser("Rerolls:"); | |
int iterations = 10000; | |
int successful = 0; | |
for (int i = 0; i < iterations; i++) | |
{ | |
var roll = Roll(numberOfDice, target, retries); | |
if (roll.Result >= target) | |
{ | |
successful++; | |
} | |
number[roll.Result]++; | |
} | |
Console.WriteLine($"==="); | |
var successRate = (double)successful / iterations; | |
for (int index = 1; index < number.Length; index++) | |
{ | |
var n = number[index]; | |
Console.WriteLine($"{index.ToString()}: {((double)n / iterations).ToString("P")}"); | |
} | |
Console.WriteLine($"===\nTarget: {target}\nDice: {numberOfDice}\nRerolls: {retries}\nTarget Surpassed: {successRate.ToString("P")}"); | |
Console.WriteLine($"===\nPress Any Key..."); | |
Console.ReadLine(); | |
} | |
private static RollAttempt Roll(int numberOfDice, int target, int retries) | |
{ | |
int[] diceResults = new int[numberOfDice]; | |
int result = 0; | |
for (int i = 0; i < diceResults.Length; i++) | |
{ | |
result += diceResults[i] = _random.Next(1, 7); | |
} | |
int attempt = 0; | |
while (result < target && attempt < retries) | |
{ | |
int indexOfLowestDiceRoll = 0; | |
result = diceResults[indexOfLowestDiceRoll]; | |
for (int i = 1; i < diceResults.Length; i++) | |
{ | |
result += diceResults[i]; | |
if (diceResults[indexOfLowestDiceRoll] > diceResults[i]) | |
{ | |
indexOfLowestDiceRoll = i; | |
} | |
} | |
result -= diceResults[indexOfLowestDiceRoll]; | |
result += diceResults[indexOfLowestDiceRoll] = _random.Next(1, 7); | |
attempt++; | |
} | |
return new RollAttempt { Result = result, Rolls = diceResults }; | |
} | |
private static int AskUser(string displayText) | |
{ | |
Console.WriteLine(displayText); | |
int result = 0; | |
while (!int.TryParse(Console.ReadLine(), out result)) | |
{ | |
Console.WriteLine("Couldn't parse number. Try without entering any special characters or letters."); | |
} | |
return result; | |
} | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment