Editing Broad difficulty

[[File:Oldman2.png|thumb|This lecture is brought to you by the Dean of Criminal Rehabilitation & Eradication]]

Many challenges are listed as 'Broad'. This means the probability of success increases linearly from 0 and up, with a roof on 100%. This is different from the previous system, '<b>[[Narrow]]</b>', where the challenge only increased around +/- 5 levels from the challenge level.

The probability of success for a 'Broad' challenge relies on three things: the Level of the Attribute or Quality being tested, the Difficulty Level, and the Difficulty Scaler, as follows:

: '''Probability of success = (Scaler) * (Quality Level) / (Difficulty Level)'''. [rounded down]

===Probability Calculator===
<pre class="jcConfig">s
 template = Template:Calculator/Probability
 form = Probability
 result = ProbabilityResult
 param = quality|Quality Level||int|0-1000
 param = diff|Difficulty Level|50|int|1-1000
 param = scaler|Difficulty Scaler (%)|60|int|1-100
</pre>

<div id="Probability"><span style="font-weight: bold;">Calculator loading...</span></div>

<div id="ProbabilityResult"> </div>

The difficulty scaler for Fallen London is '''0.60''' (as of 9th Sept. 2013). This gives the 'base' probability of success (60%), which occurs when the Quality Level equals the Difficulty Level.

The following adjectives are used to describe the difficulty of a particular challenge, based on the calculated probability:
*0-10%: almost impossible
*11-30%: high-risk
*31-40%: tough
*41-50%: very chancy
*51-60%: chancy
*61-70%: modest
*71-80%: very modest
*81-90%: low-risk
*91-100%: straightforward

e.g. a Broad challenge on Shadowy with a difficulty level of 50 would currently have the following chances of success:
*0-8: almost impossible
*9-25: high-risk
*26-33: tough
*34-41: very chancy
*42-50: chancy
*51-59: modest
*60-67: very modest
*68-75: low-risk
*76+: straightforward

The [[Beginner's Guide#Change_Points|Beginner's Guide's section on Change Points]] has information about expected earnings of the challenge attribute (at least for main attributes) per attempt at the various difficulty levels, from 1.0 at “straightforward” to 4.2 at “almost impossible”.

For further reading, this [https://docs.google.com/document/d/1K1wnNJoBhxr17fe3kHQTnpvWLdyxeKWZBKivDQHsdJg/edit?pli=1#heading=h.amllhvyq0s1r Story Nexus reference] describes this rather less drily.

==More Calculators==
===Difficulty Level===
Work out the likely difficulty level, given your probability and quality level:
<pre class="jcConfig">
 template = Template:Calculator/Difficulty Level
 form = Difficulty
 result = DifficultyResult
 param = quality|Quality Level||int|1-999
 param = prob|Success Probability (%)|50|int|1-100
 param = scaler|Difficulty Scaler (%)|60|int|1-100
</pre>

<div id="Difficulty"><span style="font-weight: bold;">Calculator loading...</span></div>

<div id="DifficultyResult"> </div>

===Relative Probability===
Given your current probability of success, what quality level will you need to achieve your desired probability?
<pre class="jcConfig">
 template = Template:Calculator/Relative Probability
 form = RelProbability
 result = RelProbabilityResult
 param = quality|Quality Level||int|1-999
 param = prob|Success Probability (%)||int|1-100
 param = prob2|Desired Probability (%)|80|int|1-100
</pre>

<div id="RelProbability"><span style="font-weight: bold;">Calculator loading...</span></div>

<div id="RelProbabilityResult"> </div>

===Challenge List Generator===
<pre class="jcConfig">
 template = Template:Calculator/ChallengeList
 form = ChallengeGenerator
 result = ChallengeGeneratorResult
 param = qualLink|Quality Link|Dangerous|string
 param = diff|Difficulty Level|50|int|1-1000
 param = scaler|Difficulty Scaler (%)|60|int|1-100
</pre>

<div id="ChallengeGenerator"><span style="font-weight: bold;">Calculator loading...</span></div>

<div id="ChallengeGeneratorResult"> </div>
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