Free Printable WorksheetMathGrade 7Math Curriculum7.138

7.138 Probability models and fairness Worksheet

Download our free printable Grade 7 Math worksheet on 7.138 Probability models and fairness. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Download PDF Download DOCX

Prefer interactive practice with instant grading and explanations?Practice Probability Models and Fairness Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.138 Probability models and fairness. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.138 Probability models and fairness - In multiple-choice items, students select the probability model that matches a situation and choose whether a game is fair based on expected outcomes. (CCSS 7.SP.C.7; TX 7.6(H); VA 7.PS.1)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.138 Probability models and fairness skill assessments:

Problem 1Difficulty: Mastery

Keep the same dice sum game (cost $4; sum 2 still pays $40; otherwise $0), but change the sum-7 prize to $y. What value of y makes the game fair? (Round to two decimals.)

A15.00

B20.00

C22.67

D17.33

Solution & Explanation:For fairness, expected payout must be 4. (1/36)(40)+(1/6)(y)=4 -> 1.111... + y/6=4 -> y about 17.33.

Problem 2Difficulty: Mastery

For the dice sum game (cost $4; sum 2 pays $40; sum 7 pays $15; otherwise $0), what is the expected net gain? (Round to two decimals.)

Solution & Explanation:EV = 0.028(36)+0.167(11)+0.806(-4) about 1.00+1.83-3.22 about -0.39.

Problem 3Difficulty: Mastery

Dice sum game: Pay $4. Roll two fair number cubes. If the sum is 2, you get $40. If the sum is 7, you get $15. Otherwise you get $0. Which probability model for net gain per play is correct? (Round to three decimals.)

ANet +36 with 0.167; net +11 with 0.028; net -4 with 0.806

BNet +36 with 0.028; net +11 with 0.194; net -4 with 0.778

CNet +36 with 0.028; net +11 with 0.167; net -4 with 0.806

DNet +40 with 0.028; net +15 with 0.167; net 0 with 0.806

Solution & Explanation:P(sum=2)=1/36 about 0.028; P(sum=7)=6/36 about 0.167; otherwise 29/36 about 0.806. Subtract cost $4 from prizes to get net gains: 36, 11, and -4.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 7.138 Probability models and fairness worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 7.138 Probability models and fairness worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 7.138 Probability models and fairness online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.138 Probability models and fairness interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.138 (Practice and review Grade 7 math skill 7.138: Probability Models and Fairness.).