Free Printable WorksheetMathGrade 7Math Curriculum7.137

7.137 Experimental probability and simulation Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.137 Experimental probability and simulation. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.137 Experimental probability and simulation - In multiple-choice items, students select the experimental probability from trial data and choose which conclusion best compares experimental and theoretical probabilities. (FL MA.7.DP.2.4; CCSS 7.SP.C.6; 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 7.137 Experimental probability and simulation skill assessments:

Problem 1Difficulty: Mastery

Three fair dice are rolled. In 1,500 simulated rolls of three dice, all three dice showed different numbers 962 times. What is the experimental probability that all three dice show different numbers? (Round to the nearest thousandth.)

Solution & Explanation:Experimental probability = 962 ÷ 1500 ≈ 0.6413, which rounds to 0.641.

Problem 2Difficulty: Mastery

A class has 30 students: 15 girls and 15 boys. In 1,000 simulations of choosing 2 students without replacement, both students were girls 241 times. What is the experimental probability of choosing 2 girls? (Round to the nearest thousandth.)

Solution & Explanation:Experimental probability = 241 ÷ 1000 = 0.241.

Problem 3Difficulty: Mastery

Two cards are drawn from a standard deck without replacement. Consider the conditional probability: P(second card is a heart given that the first card was a heart). The theoretical value is about 0.235. In a simulation, “first card was a heart” happened 260 times, and in those cases the second card was a heart 54 times. Which conclusion is best?

AExperimental conditional probability is 54 ÷ 52 = 1.04, which matches 0.235.

BExperimental conditional probability is 54 ÷ 260 = 0.54, which is close to 0.235.

CExperimental conditional probability is 260 ÷ 54 = 4.81, which is close to 0.235.

DExperimental conditional probability is about 0.208 (54 ÷ 260), slightly less than 0.235; more conditional trials would likely get closer.

Solution & Explanation:Use only the trials where the condition happened: 54 ÷ 260 ≈ 0.2077, about 0.208. Theoretical is about 0.235, so it’s slightly less; more trials would improve accuracy.

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Frequently Asked Questions

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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 7.137 (Practice and review Grade 7 math skill 7.137: Experimental Probability and Simulation.).