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Probability (Foundations)

Core skills for this exam family.

Phase 2 · Gaokao

FoundationsStandardAdvanced

Probability: core idea

P=favorabletotalP=\frac{favorable}{total}.

Example problem: hint and answer

Fair coin P(H)P(H)?

Hint: Fair. Answer: 1/2.

Practice (9 problems — type your answers)

  • 1. Die P(4)P(4)?

  • 2. Two colors equal: P(first color)P(\text{first color})?

  • 3. P(A)=0.3P(A)=0.3: complement?

  • 4. Sample space size for coin?

  • 5. Die even probability?

  • 6. P(impossible)P(\text{impossible})?

  • 7. P(certain)P(\text{certain})?

  • 8. Disjoint P=0.2P=0.2 and 0.50.5: union?

  • 9. Independent 0.50.5 and 0.50.5: intersection?

Probability Practice Problems — Foundations