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Probability and Brainteaser Practice

A practice system for probability problems and brainteasers: a timed baseline, a sourced problem bank, daily sessions with a log, topic drills from counting to martingales and monthly speed and accuracy reviews.

Free · Mac (Apple silicon) and Windows · v1.0.0 · Other platforms

Then open the Marketplace in the app, search for Probability and Brainteaser Practice, and click Install. It goes into your own files, and works offline from then on.

Before you start: this plan is general information to help you organise your own money decisions. It is not financial, investment, tax or legal advice. Check decisions that matter with a qualified, licensed adviser in your country, and remember that investing and trading can lose money.

What it installs.

1

Pillar

1

Area

50

Projects

200

Starter tasks

🧮 Quantitative Finance & Trading

Probability and Brainteaser Practice

Building speed and accuracy on probability problems: combinatorics, conditional probability, expected values, classic brainteasers and a daily practice log.

  1. Timed probability diagnostic baseline
  2. Daily probability practice log set-up
  3. Sourced problem bank of 300 questions
  4. Written solution standard for every problem
  5. Weekly practice timetable around coursework
  6. Error categories for wrong answers
  7. One-page probability formula sheet
  8. Speed and accuracy targets for the term
  9. Monte Carlo checker for probability answers
  10. Daily twenty-minute problem session
  11. Saturday timed problem set
  12. Spaced review of missed problems
  13. Monthly speed and accuracy review
  14. Monthly mixed-topic timed paper
  15. Weekly problem swap with a study partner
  16. Problem bank refresh from new sources
  17. Quarterly topic coverage audit
  18. Counting and combinatorics fundamentals drill
  19. Stars and bars and occupancy problems
  20. Inclusion-exclusion and derangement problems
  21. Conditional probability and Bayes' rule set
  22. Linearity of expectation with indicator variables
  23. First-step analysis for expected values
  24. Geometric probability on lines, squares and circles
  25. Order statistics of uniform random variables
  26. Symmetry arguments that shortcut calculations
  27. Random walks and gambler's ruin problems
  28. Coin-flip pattern waiting times and Penney's game
  29. Classic brainteaser canon in your own words
  30. Logic puzzles without probability
  31. Optimal stopping puzzles and re-roll games
  32. Paradox file of counterintuitive results
  33. First-sixty-seconds routine for new problems
  34. Choosing a core probability textbook
  35. Sanity bounds before exact answers
  36. Stuck rule and hint ladder
  37. Online probability test dress rehearsal
  38. Hundred-problem milestone review
  39. Brainteaser evening for a student society
  40. End-of-term practice portfolio
  41. Practice route for non-maths degree students
  42. Twelve-week ramp before internship season
  43. Minimum routine during exam weeks
  44. Refresher fortnight after a long break
  45. Running a weekly probability study group
  46. Generating functions for dice and sums
  47. Martingales and optional stopping for puzzles
  48. Markov chain absorption with transition matrices
  49. Poisson processes and exponential races
  50. Writing and verifying original brainteasers

Where it starts.

Each project arrives with its purpose, milestones and first tasks written out. Here is how the first three read.

Timed probability diagnostic baseline

Before planning any practice you need to know where you stand: which topics you solve quickly, which you solve slowly and which you cannot start. Sitting twenty mixed problems under a fixed time limit, with no notes, gives a baseline score per topic that every later month is measured against.

First tasks

  • Pick twenty unseen problems spread across five topics and hide the answers
  • Sit the set in one session with a timer and no notes
  • Mark every answer and note the minutes each problem took
  • Write the per-topic accuracy and median time into the log

Daily probability practice log set-up

Without a log, practice feels busy but progress is invisible, and the same mistakes return every few weeks. One row per problem, with the source, topic, minutes, result and the idea that cracked it, turns scattered effort into data you can review and act on.

First tasks

  • Create the log with date, source, topic, minutes, result, key idea and error columns
  • Write the fixed list of topic labels at the top of the log
  • Enter the twenty baseline problems as the first rows
  • Total the week's rows and note the hit rate and average minutes @recurring(weekly:sun)

Sourced problem bank of 300 questions

Practising from whatever turns up online means uneven difficulty, missing topics and answers of doubtful quality. A bank of around 300 problems drawn from a few trusted books and problem sets, each tagged by topic and difficulty with a source page, lets every session start in seconds and lets you aim at weak topics on purpose.

First tasks

  • Choose three to five problem sources and note what each covers best
  • List problems by source and page with a topic and difficulty tag
  • Count problems per topic and find any topic below twenty
  • Add problems from a further source until every topic reaches twenty

Make it yours.

Install Probability and Brainteaser Practice, then tell Aurum the date you're aiming for. It checks whether the plan fits the weeks you actually have.

Free · Mac (Apple silicon) and Windows · v1.0.0 · Other platforms

Blueprints are general information to help you organise your own work. They are not medical, financial, legal or other professional advice. See the Terms.