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Grade 6 · Data · Probability and Independent Events

Predict Independent Events

Independent events do not change one another's probabilities. A complete sample space makes every combined outcome visible.

The big idea

Theory predicts; experiments provide evidence

Flipping a coin and rolling a six-sided die creates 12 equally likely combined outcomes. Two include heads and a number greater than 4.

Work it through

Find P(heads and a number greater than 4)

  1. 1. List 2 coin outcomes and 6 die outcomes: 2 × 6 = 12 combinations.
  2. 2. Favourable outcomes are H5 and H6: 2 combinations.
  3. 3. Probability = 2/12 = 1/6 ≈ 0.167 = 16.7%.
  4. 4. Run trials and compare the experimental result with 1/6.