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This catan dice probability calculator evaluates settlement placements, expected resource yields and robber risks based on the statistical odds of two six sided dice. 

Board game players use it to remove guesswork from their initial board placements and predict the exact number of resource cards an empire will generate over a set number of turns. 

Relying on cold mathematics helps you make optimal trades and avoid statistically weak board positions.

What the Catan Probability & Yield Calculator Does

The tool solves the problem of relying on intuition by running exact mathematical probabilities for your specific board state. 

It functions as a complete catan resource yield calculator, taking your active settlements and cities to project specific resource generation across a simulated number of dice rolls. 

You receive exact decimal outputs for expected wood, brick, sheep, wheat and ore cards. A dedicated catan dice probability calculator guarantees accuracy.

The calculator also evaluates the strength of any board intersection using a standard pip counting method. 

This method measures the mathematical probability dots printed on the game's number tokens, offering a much more accurate assessment than simply guessing a spot's value. 

Finally, it calculates the catan robber probability (rolling a 7) over a specified window of upcoming turns. This specific calculation uses the probability of not rolling a seven to determine the exact percentage risk of losing half your hand to the robber.

How to Use the Calculator

Start by configuring your resource generation in the first section of the catan dice probability calculator. 

Select the resource type from the dropdown menu, choose the specific dice number on the hex ranging from two to twelve and specify whether your building is a settlement or a city. Click the add building button to place the structure into your active list. 

You must add each building individually to build an accurate profile of your current game state. Adjust the simulated number of rolls field to reflect the timeframe you want to measure such as an average thirty six roll game segment.

Move down to the settlement spot evaluator to analyze a potential placement before you build. Enter the numbers of the three adjacent hexes into the three provided fields. Type a zero for the third hex if you are evaluating a coastal spot with only two adjacent land tiles.

Use the robber risk calculator at the bottom of the tool to anticipate the next seven. Enter the precise number of upcoming rolls you want to analyze into the numerical input box. 

This value typically represents the amount of players taking a turn before your next action.

Understanding Your Results

When reading your catan dice probability calculator outputs the expected resource yield section returns a breakdown of expected cards for every resource currently generating on your active list. 

It outputs a specific card count for each type alongside a grand total of expected cards over your chosen simulation length. 

Cities double the output of a standard settlement. The math automatically reflects this increase in your totals.

The settlement spot evaluator returns three distinct metrics for your inputted hexes. 

Total production dots show your raw pip count out of a maximum of fifteen, representing the pure mathematical strength of the intersection. 

Expected yield per 36 rolls matches your exact pip count, showing precisely how many cards that spot generates over a standard statistical distribution. The intersection rating categorizes your spot on a scale ranging from Poor to Excellent. 

Spots with twelve or more pips achieve an Excellent top-tier rating. Anything under six drops into the Poor category with a warning to avoid the spot.

The robber risk output gives you a hard percentage chance of a seven appearing during your defined roll window. 

A higher percentage means the robber is statistically likely to strike before you take your next turn.

Who Should Use This Tool

Competitive players analyzing their early-game strategy rely on this catan settlement spot calculator (pips) to optimize their initial placements. 

A player debating between a high yield ore setup and a balanced wood brick expansion uses the yield generator to compare exact expected returns over thirty six rolls.

Players holding more than seven cards during a high tension midgame use the robber calculator to decide whether they should build immediately or risk holding their hand for one more round. 

Beginners also benefit from using this catan dice probability calculator as a learning device to understand how dice math dictates the pace of the game.

Real World Use Cases and Practical Tips

Imagine you are choosing your second starting settlement and must decide between an eight four three intersection and a six-nine-eleven intersection. 

You input both spots into the evaluator to compare their raw pip counts and categorical ratings. 

The tool proves the six nine eleven spot yields fourteen total pips compared to the ten pips of the eight four three spot. This data helps you prioritize raw card volume over the single strong eight tile.

Another scenario involves planning a city upgrade during the midgame. You input your current settlements into the catan dice probability calculator and simulate ten rolls to see your short term expected resource generation. 

You notice your wheat production sits at a low fraction of a card. This proves you need to trade for wheat rather than waiting for the dice to provide it.

Keep in mind that a catan dice probability calculator measures perfect mathematical distribution. Real dice rolls experience short term variance. Your actual yields will occasionally stray from the mathematical average during fast games. 

Always evaluate your board context alongside the raw math. If a spot rates highly but offers resources you do not need, a mathematically weaker spot might still be the better play.

Frequently Asked Questions

How do you calculate Catan settlement pips? 

You calculate settlement pips by adding the probability dots printed under the numbers on the adjacent hexes. The numbers six and eight have five dots each while two and twelve have one dot each. 

Summing these dots across all touching hexes tells you exactly how many times that intersection will produce a resource out of thirty six standard rolls.

What are the odds of rolling each number in Catan? 

The odds depend on the mathematical combinations of two six-sided dice. A seven has the highest probability with a one in six chance, representing six out of thirty six possible dice combinations. 

Numbers on the extreme ends, like two and twelve, have only a one in thirty six chance of appearing. The numbers six and eight each have a five in thirty six chance.

What's the probability of rolling a 7 in Catan? 

A single dice roll always has a 16.67 percent chance of returning a seven. The probability increases significantly when you look at a sequence of upcoming turns. 

Four consecutive rolls carry over a 50 percent chance of producing at least one seven. This makes it highly risky to hold eight or more cards during a full orbit of the table.

How many resources can I expect per turn in Catan? 

Your expected resources per turn depend entirely on your active buildings and their corresponding dice numbers. A single settlement on a six tile will generate a card roughly one out of every seven rolls. 

By inputting your entire empire into the catan dice probability calculator you can divide your total expected yield by your simulated rolls to find your exact per-turn average.

What's the best Catan settlement spot mathematically? 

The mathematically strongest intersection borders a combination of a six, an eight and a five or nine. 

This exact combination delivers fourteen or fifteen probability dots out of the maximum fifteen possible pips. 

A reliable catan dice probability calculator assigns these high yield spots an Excellent rating, indicating top tier production capability.

Final Thoughts

Knowing the exact odds of your board state removes emotion from your trading and building decisions. 

Using this catan dice probability calculator provides raw data on your expected card generation and precise mathematical evaluations of the board. 

Bookmark this catan dice probability calculator and input your current settlements now to see exactly how many resources you can expect during the next phase of your game.