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🧠 Conditional Probability: Show Your Thinking (S-CP.A.4)

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Construct and interpret two-way frequency tables; find conditional probabilities. Solve each problem and show your work.

1. Survey: Plays sport & likes reading 25; sport & not reading 37; no sport & reading 31; no sport & not reading 26. P(reading | plays sport) = ?
Show your work
2. Survey: Plays sport & likes reading 21; sport & not reading 13; no sport & reading 38; no sport & not reading 24. P(reading | plays sport) = ?
Show your work
3. Survey: Plays sport & likes reading 18; sport & not reading 29; no sport & reading 40; no sport & not reading 26. P(reading | plays sport) = ?
Show your work
4. Survey: Plays sport & likes reading 19; sport & not reading 18; no sport & reading 25; no sport & not reading 15. P(reading | plays sport) = ?
Show your work
5. Survey: Plays sport & likes reading 36; sport & not reading 27; no sport & reading 22; no sport & not reading 17. P(reading | plays sport) = ?
Show your work
6. Survey: Plays sport & likes reading 36; sport & not reading 25; no sport & reading 30; no sport & not reading 39. P(reading | plays sport) = ?
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 25/62 · 2) 21/34 · 3) 18/47 · 4) 19/37 · 5) 4/7 · 6) 36/61
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Worksheets › Grade 12 Math (Precalculus & Statistics) › Conditional Probability › Conditional Probability

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core S-CP.A.4): conditional probability — problems with space to show work and explain reasoning, with answer key. Skill: Construct and interpret two-way frequency tables; find conditional probabilities. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

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It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.

What skills does it build?

Construct and interpret two-way frequency tables; find conditional probabilities.

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More “Conditional Probability” printables (s-cp.a.4: construct and interpret two-way frequency tables; find conditional probabilities)

Conditional Probability: Practice A (S-CP.A.4) · Conditional Probability: Practice B (S-CP.A.4) · Conditional Probability: Mixed Practice & Reasoning (S-CP.A.4) · Conditional Probability: Quick Check (S-CP.A.4)

All 5 conditional probability sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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