Free Printable WorksheetMathGrade 7Math Curriculum7.141

7.141 Independent and dependent events Worksheet

Download our free printable Grade 7 Math worksheet on 7.141 Independent and dependent events. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.141 Independent and dependent events. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.141 Independent and dependent events - In multiple-choice items, students select whether events are independent or dependent and choose the correct probability expression for the situation. (CCSS 7.SP.C.8; TX 7.6(I))

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 7.141 Independent and dependent events skill assessments:

Problem 1Difficulty: Mastery

Scenario: A spinner chooses between two jars for a science demo. First, you pick Bag A with probability 1 over 3; otherwise you pick Bag B. Then you draw 1 token from the chosen bag. What option correctly describes whether the events are independent or dependent AND gives a correct expression for P(draw reactive)?

AIndependent; (1 over 3) × (2 over 10) + (2 over 3) × (7 over 10)

BDependent; (2 over 10) × (7 over 10)

CIndependent; (1 over 3) × (2 over 10)

DDependent; (1 over 3) × (2 over 10) + (2 over 3) × (7 over 10)

Solution & Explanation:Drawing the target depends on which bag was chosen, so the events are dependent. Find the probability along each path and add them: P(target)=P(A)×P(target given A)+P(B)×P(target given B).

Problem 2Difficulty: Mastery

Scenario: Independence is assumed for two events. P(A) = 5 over 12 and P(B) = 6 over 10. If A and B are independent, what option correctly gives P(A and B)?

ADependent; (5 over 12) × (6 over 10) = 1 over 4

BIndependent; (5 over 12) + (6 over 10) = 1 over 4

CIndependent; (5 over 12) × (6 over 10) = 1 over 4

DIndependent; (11 over 22)

Solution & Explanation:Independent events use multiplication: P(A and B)=P(A)×P(B)=(5 over 12)×(6 over 10)=1 over 4.

Problem 3Difficulty: Mastery

Scenario: A medical study reports conditional probability results. P(A)=0.10 and P(A given B)=0.04. Which option correctly decides whether A and B are independent and shows the key comparison?

AIndependent; 0.04 ≠ 0.10

BDependent; 0.04 ≠ 0.10

CDependent; 0.04 = 0.10

DIndependent; P(A and B)=P(A)×P(B)

Solution & Explanation:If A and B were independent, P(A given B) would equal P(A). Because the values are different, the events are dependent.

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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 7.141 (Practice and review Grade 7 math skill 7.141: Independent and Dependent Events.).