Learn

Learning preferences

Make learning more comfortable. Changes apply immediately.

Enlarges page content, including diagrams and their labels. You can also use your browser’s zoom.

Choose the colours that are easiest for you to distinguish. Applies to lesson diagrams and lab plots. Labels, shapes, hatching and line patterns also distinguish meanings. Source photographs and raw image brightness stay unchanged; mask-only views are available for image overlays.

ExampleComparisonSample link

Saved in this browser on this device. Preferences are separate from progress backups.

Learn through experiments

Allocate security maintenance

Which schedule covers more exposed accounts under the same staff budget?

Entering midway? Revisit Recover the club register for the preceding worked example, or start here and use the explanation below.

1 · Try

Start with a concrete question

Three fictional assets need whole maintenance jobs. Exposed account counts are disjoint inventories, not risk scores.

Try the initial inputs, then write a prediction before changing one setting. All calculations run locally on your CPU.

Go directly to the experiment · Review basic mathematics

2 · Predict

What do you expect?

Before changing a setting: Which schedule covers more exposed accounts under the same staff budget? Write what you expect and why.

3 · Experiment

Change one thing. Inspect what happens.

  1. Compare all orders with four hours available.
  2. Increase capacity and identify when plans converge.
  3. List missing evidence beyond exposed account count.
  4. Write a schedule with owners, rollback and verification.
Experiment inputs
Inputs
Your settingsMechanism
Calculation belowEvidence
Compare outcomes
Staff time used4 hours
Exposed accounts on patched assets100 accounts
Exposed accounts on unpatched assets50 accounts

Compare the current results

Every bar starts at zero and uses the same numeric scale in this chart. The upper bound automatically adjusts to the largest current value (at least 1), so compare the numbers when changing inputs. Units and quantities come from each label; different kinds of quantity are not interchangeable. Displayed values are rounded to at most six significant digits.
0100
  • Exposed accounts on patched assets (accounts)100
    Exposed accounts on patched assets (accounts): 100Horizontal bar from zero to 100, on the shared zero to 100 numeric axis.
  • Exposed accounts on unpatched assets (accounts)50
    Exposed accounts on unpatched assets (accounts): 50Horizontal bar from zero to 50, on the shared zero to 100 numeric axis.

Follow the calculation

  1. public portal: 4 staff-hours; 100 exposed accounts; scheduled.
  2. internal wiki: 2 staff-hours; 20 exposed accounts; does not fit remaining capacity.
  3. shared kiosk: 2 staff-hours; 30 exposed accounts; does not fit remaining capacity.
  4. Account groups are disjoint. Count is exposure inventory, not expected compromise or a risk probability.

Compare plans under the same capacity. Account count is one decision input; exploitability and business impact need separate evidence.

Captures keep your inputs, prediction and observation. Results are recalculated from those inputs. Resetting inputs keeps your captures and challenge history.

4 · Understand

Explain the mechanism

Allocate security maintenance

Three fictional assets need whole maintenance jobs. Exposed account counts are disjoint inventories, not risk scores.

Follow the mechanism

A schedule scans its order and accepts each whole job that fits remaining capacity.

With four hours, the portal covers 100 accounts; the two short jobs cover 50.

Exposure count omits likelihood, severity and dependencies; explain why your chosen priority is appropriate.

Worked example

public portal: 4 staff-hours; 100 exposed accounts; scheduled.

internal wiki: 2 staff-hours; 20 exposed accounts; does not fit remaining capacity.

shared kiosk: 2 staff-hours; 30 exposed accounts; does not fit remaining capacity.

Account groups are disjoint. Count is exposure inventory, not expected compromise or a risk probability.

Calculation

Used time = sum of scheduled job hours; covered accounts = sum of disjoint accounts on scheduled assets.

Try a controlled comparison

  1. Compare all orders with four hours available.

  2. Increase capacity and identify when plans converge.

  3. List missing evidence beyond exposed account count.

  4. Write a schedule with owners, rollback and verification.

What this does not establish

  • All messages, people, documents and outcomes here are original fictional teaching fixtures; results are not measurements of real organizations.
5 · Apply

Try a fresh case

Two non-overlapping assets cover 45 and 25 accounts. If both are patched, how many accounts are on patched assets?

This is a public practice check. Retries support learning; matching a number does not certify independent proficiency.

Take the investigation further

Choose any extension. These are project prompts for you to carry out; they are not automatically assessed.

School investigation

Create a new case with different numbers and explain your decision to a classmate.

College investigation

Implement or analyze a fresh case, document assumptions and compare at least two alternatives.

Workplace investigation

Prepare a decision artifact with evidence, operating constraints, an owner and a follow-up measurement.

6 · Continue

Keep the evidence, choose your next step

Completion records your own decision that you have worked through this investigation. Practice checks and independent project evidence are separate.