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💬 Expected Value: Mixed Practice & Reasoning (S-MD.A.2)

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Calculate the expected value of a random variable. Read each problem. Draw or write to solve. Label your answer.

1. A game costs $5. You win $18 with probability 1/5. Expected value of playing?
Work
Answer: ______________
2. A game costs $3. You win $8 with probability 1/4. Expected value of playing?
Work
Answer: ______________
3. A game costs $1. You win $15 with probability 1/6. Expected value of playing?
Work
Answer: ______________
4. A game costs $1. You win $18 with probability 1/6. Expected value of playing?
Work
Answer: ______________
5. A game costs $5. You win $8 with probability 1/5. Expected value of playing?
Work
Answer: ______________
6. A game costs $4. You win $14 with probability 1/6. Expected value of playing?
Work
Answer: ______________
Answer key: 1) −$1.40 · 2) −$1.00 · 3) $1.50 · 4) $2.00 · 5) −$3.40 · 6) −$1.67
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Worksheets › Grade 12 Math (Precalculus & Statistics) › Expected Value › Expected Value

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

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core S-MD.A.2): expected value — mixed practice with space to reason and check, with answer key. Skill: Calculate the expected value of a random variable. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

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What age is it for?

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

What skills does it build?

Calculate the expected value of a random variable.

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More “Expected Value” printables (s-md.a.2: calculate the expected value of a random variable)

Expected Value: Practice A (S-MD.A.2) · Expected Value: Practice B (S-MD.A.2) · Expected Value: Show Your Thinking (S-MD.A.2) · Expected Value: Quick Check (S-MD.A.2)

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

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