Free Printable WorksheetMathGrade 6Math Curriculum6.110

6.110 Introductory Probability of Simple Events (Extension) Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.110 Introductory Probability of Simple Events (Extension). Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly gives the probability of the event and compares two events' likelihoods? (CCSS 7.SP.C.5-6 (Extension); TX 19 TAC §111.26 (Statistics and Probability); FL MA.6.DP (Extension))

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 6

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 6.110 Introductory Probability of Simple Events (Extension) skill assessments:

Problem 1Difficulty: Mastery

Two different machines fill bottles. Machine P produced 9 underfilled bottles out of 200. Machine Q produced 13 underfilled bottles out of 250. Event A: A bottle from Machine P is underfilled (based on results). Event B: A bottle from Machine Q is underfilled (based on results). Which option correctly gives P(Event A) for a bottle from Machine P is underfilled (based on results) and correctly compares Event A and Event B?

AP(Event A) = 13 out of 250, and Event A is less likely than Event B.

BP(Event A) = 9 out of 200, and Event A is more likely than Event B.

CP(Event A) = 191 out of 200, and Event A is more likely than Event B.

DP(Event A) = 9 out of 200, and Event A is less likely than Event B.

Solution & Explanation:For Event A (a bottle from Machine P is underfilled (based on results)), there are 9 favorable outcomes out of 200 total, so P(Event A) = 9 out of 200. For Event B (a bottle from Machine Q is underfilled (based on results)), there are 13 favorable outcomes out of 250 total, so P(Event B) = 13 out of 250. Compare by cross-multiplying: 9×250 = 2250 and 13×200 = 2600. Since 2250 is less than 2600, Event A is less likely than Event B.

Problem 2Difficulty: Mastery

A student randomly chooses a seat number from 1 to 40. Event A: the seat number is a factor of 40. Event B: the seat number is a multiple of 7. Event A: Choosing a factor of 40. Event B: Choosing a multiple of 7. Pick the statement that correctly states P(Event A) for choosing a factor of 40 and tells whether Event A is more, less, or equally likely as Event B.

AP(Event A) = 5 out of 40, and Event A is more likely than Event B.

BP(Event A) = 8 out of 40, and Event A is less likely than Event B.

CP(Event A) = 8 out of 40, and Event A is more likely than Event B.

DP(Event A) = 32 out of 40, and Event A is less likely than Event B.

Solution & Explanation:For Event A (choosing a factor of 40), there are 8 favorable outcomes out of 40 total, so P(Event A) = 8 out of 40. For Event B (choosing a multiple of 7), there are 5 favorable outcomes out of 40 total, so P(Event B) = 5 out of 40. Compare by cross-multiplying: 8×40 = 320 and 5×40 = 200. Since 320 is greater than 200, Event A is more likely than Event B.

Problem 3Difficulty: Mastery

A jar has 75 marbles: 24 are striped, 21 are dotted, and the rest are solid. One marble is drawn. Event A: Drawing solid. Event B: Drawing striped. Which choice has the correct probability for Event A (drawing solid) and the correct likelihood comparison to Event B?

AP(Event A) = 24 out of 75, and Event A is more likely than Event B.

BP(Event A) = 30 out of 75, and Event A is more likely than Event B.

CP(Event A) = 30 out of 75, and Event A is less likely than Event B.

DP(Event A) = 45 out of 75, and Event A is less likely than Event B.

Solution & Explanation:For Event A (drawing solid), there are 30 favorable outcomes out of 75 total, so P(Event A) = 30 out of 75. For Event B (drawing striped), there are 24 favorable outcomes out of 75 total, so P(Event B) = 24 out of 75. Compare by cross-multiplying: 30×75 = 2250 and 24×75 = 1800. Since 2250 is greater than 1800, Event A is more likely than Event B.

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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 6 Math students. It aligns with educational standard 6.110 (Introductory Probability of Simple Events).