concept~120 mindifficulty

Probability Basics

ML models reason under uncertainty. Probability is the math of “how likely” — essential for classification and evaluation.

1

Learn it

Learn events, probability (0–1), independence, conditional probability, and common distributions (uniform, normal). Understand that predictions are often probabilities, not certainties.

By the end you’ll be able to

  • Reason about likelihood and events
  • Understand distributions

Free resources

2

Practice

Simulate 1000 coin flips in Python and estimate the probability of heads; compare to the true 0.5.

3

Build it — your output

A notebook that simulates a simple random process (dice, cards) and estimates probabilities empirically.

4

Prove it — check yourself

You’re ready to move on when you can honestly say yes to each:

  • Can you explain conditional probability with an example?
  • Do you know what a normal distribution looks like?
  • Can you estimate a probability by simulation?

Do it with AI

Use a free AI tool as your tutor and pair-programmer. Copy a prompt below into Claude, ChatGPT, or Gemini (for building, try Cursor or Copilot).

The habit: Try it yourself first — a little struggle is where the learning actually happens. Then ask for a hint before the answer — never copy blindly.

  • Understand itClaude / ChatGPT / Gemini

    I'm a beginner learning "Probability Basics". Explain it in simple terms with a real-world analogy, then ask me ONE question to check my understanding — don't reveal the answer.

  • PracticeClaude / ChatGPT / Gemini

    Give me 3 short practice problems on "Probability Basics" (my goal: reason about likelihood and events), from easy to hard. Don't include the solutions yet — I'll try them first, then ask you to check.

  • Get unstuckClaude / ChatGPT / Gemini

    I'm stuck on this exercise about "Probability Basics": [paste your attempt here]. Give me ONE small hint to move forward — do NOT give me the full solution.

  • Build & reviewCursor / Copilot

    Here is my work for a "Probability Basics" task: [paste your code or answer]. Review it: point out what's wrong and WHY, and suggest improvements — but let me make the fixes myself.

  • Prove itClaude / ChatGPT / Gemini

    Quiz me on "Probability Basics". Ask me 5 questions one at a time, wait for my answer each time, then tell me if I'm right and briefly why.

My notes