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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 7/
  4. Unit 6/
  5. Compound Probability
Grade 7 · Unit 6Topic 2 of 2~22 min

Compound Probability

Find the probability of two or more events happening together.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Independent events

Events are independent when one doesn't affect the other (like two coin flips). For independent events, multiply the individual probabilities.

Worked example

What is the probability of flipping heads and then rolling a 3?

  1. →P(heads) = 1/2.
  2. →P(rolling 3) = 1/6.
  3. →Multiply: 1/2 × 1/6 = 1/12.

Tip

Listing all outcomes in a table or tree diagram is a reliable way to count compound outcomes.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Khan Academy

Compound Probability of Independent Events

Multiply probabilities when events don't affect each other.

Watch on YouTube
Khan Academy

Dependent Probability

When the first event changes the second.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Compound events

Open resource
Math Worksheets 4 Kids

Probability worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Compound Probability

Question 1 of 2

Medium

Two coins are flipped. What is the probability of getting heads on both?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 1 of 2Simple Probability→Finished the unit?Back to Unit 6