Free Printable WorksheetMathPre-CalculusMath CurriculumCCSS S-ID.6

Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability Worksheet

Download our free printable Pre-Calculus Math worksheet on Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability. 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
Prefer interactive practice with instant grading and explanations?Practice Use Venn Diagrams and Two-Way Tables for Probability Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.173 Use Venn Diagrams and Two-Way Tables for Probability - Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a two-way table or Venn diagram, determine probabilities for unions, intersections, and conditional events and select the correct computed values. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.

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

Pre-Calculus

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 Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability skill assessments:

Problem 1Difficulty: Mastery
In a three-set Venn diagram for 78 students, let A = solves puzzles, B = plays chess, and C = builds models. Region counts: A only = 5; B only = 18; C only = 8; A and B only = 3; A and C only = 14; B and C only = 7; all three = 8; none = 15. What is P(B or C|A)?
A25/78
B25/30
C5/30
D5/78
Solution & Explanation:For this probability, the denominator is all outcomes in A, which has 30 outcomes. The favorable outcomes are A outcomes that also have B or C: 3 + 14 + 8, which total 25. So the probability is 25/30.
Problem 2Difficulty: Mastery
In a three-set Venn diagram for 113 students, let A = chooses a vegetarian meal, B = chooses fruit, and C = chooses milk. Region counts: A only = 20; B only = 13; C only = 17; A and B only = 7; A and C only = 15; B and C only = 16; all three = 13; none = 12. What is P(A and not B|C)?
A15/113
B46/61
C20/113
D15/61
Solution & Explanation:For this probability, the denominator is all outcomes in C, which has 61 outcomes. The favorable outcomes are C outcomes in A but not B: 15, which total 15. So the probability is 15/61.
Problem 3Difficulty: Mastery
In a three-set Venn diagram for 75 students, let A = attends morning class, B = attends afternoon lab, and C = attends evening seminar. Region counts: A only = 17; B only = 8; C only = 10; A and B only = 11; A and C only = 2; B and C only = 12; all three = 6; none = 9. What is P((A and B) or C)?
A34/75
B41/75
C17/75
D8/75
Solution & Explanation:For this probability, the denominator is the full sample, which has 75 outcomes. The favorable outcomes are A and B regions or any C region: 11 + 10 + 2 + 12 + 6, which total 41. So the probability is 41/75.

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 Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability 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 Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability 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 Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability online with instant feedback?

Yes! In addition to this printable worksheet, students can practice Pre CAL.173 Use Venn Diagrams and Two Way Tables for Probability 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 Pre-Calculus Math students. It aligns with educational standard CCSS S-ID.6 (Primary standard selected for prompt fields in this prompt cell: CCSS S-ID.6. Skill statement in this prompt cell: Given a two-way table or Venn diagram, determine probabilities for unions, intersections, and conditional events and select the correct computed values. Associated standards listed with this skill in this prompt cell: CCSS S-ID.6; CCSS S-CP.1-6; CCSS HS-Modeling; SMP 1,2,4,5,6; VA A2.ST.3, PS.1; NAEP Data Analysis and Probability. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Pre-Calculus Math Resources

Continue learning with complementary skill worksheets and online practice

More Pre-Calculus Worksheets

Pre CAL.1 Function Notation and Evaluating Functions
Pre CAL.10 Inverse Functions and One to One Relationships
Pre CAL.100 Solve Triangles Including the Ambiguous Case
Pre CAL.101 Find the Area of a Triangle Using Trigonometry
Browse all Pre-Calculus Worksheets

Interactive Online Skills

Pre-CAL.1Function Notation and Evaluating Functions
Pre-CAL.2Domain, Range, and Function Types
Pre-CAL.3Multiple Representations of Functions
Pre-CAL.4Interpreting Key Features of Functions in Context
Browse all Pre-Calculus Interactive Practice