Grade 5 Math · Probability and Statistics

Virginia SOL 5.PS.3

Virginia SOL 5.PS.3 is part of the Probability and Statistics strand in Grade 5 Math (Math). Under this Standards of Learning objective, students determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle. Below is what 5.PS.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 5.PS.3 for the Virginia SOL test.

What SOL 5.PS.3 means

Determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle.

Practice Grade 5 Math SOL questions

Free Grade 5 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 5.PS.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. A parking garage has 12 levels. Each level has 86 parking spaces. What is the total number of parking spaces in the garage?

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    Answer: D — 1,032

  2. 2. What is the value of this expression? (6 + 4(8 - 5))

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    Answer: A — 18

  3. 3. Which list of numbers is ordered from least to greatest?

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    Answer: C — ( 0.22, (3)/(12), 0.75, (8)/(9) )

  4. 4. Based on the order of operations, which shows the first step in simplifying this expression? (16 + 2 + 6(7 + 4 * 5))

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    Answer: D — (16 + 2 + 46(7 + 20))

→ Take the full free Grade 5 Math SOL practice test

Skills you’ll practice for 5.PS.3

  • Determine the probability of an outcome by constructing a sample space (with 24 or fewer equally likely possible outcomes) using a tree diagram, list, or chart.
  • Determine the number of possible outcomes by using the Fundamental (Basic) Counting Principle.

Key concepts covered by 5.PS.3

  • determine
  • probability
  • outcome
  • construct
  • sample space
  • tree diagram
  • list
  • chart
  • equally likely possible outcomes
  • number of possible outcomes
  • Fundamental Counting Principle

How to study and practice SOL 5.PS.3

Start with a quick diagnostic to see whether 5.PS.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

→ Take the free Grade 5 Math SOL practice test

  • 5.PS.1Apply the data cycle with a focus on line plots (dot plots) and stem-and-leaf plots.
  • 5.PS.2Solve contextual problems using measures of center and the range.

Frequently asked questions about SOL 5.PS.3

What is Virginia SOL 5.PS.3?

SOL 5.PS.3 is a Grade 5 Math Standard of Learning in the Probability and Statistics strand. It expects students to determine the probability of an outcome by constructing a model of a sample space and using the Fundamental (Basic) Counting Principle.

What skills does SOL 5.PS.3 cover?

SOL 5.PS.3 is assessed on 2 skills: determine the probability of an outcome by constructing a sample space (with 24 or fewer equally likely possible outcomes) using a tree diagram, list, or chart; determine the number of possible outcomes by using the Fundamental (Basic) Counting Principle.

What strand of Grade 5 Math is SOL 5.PS.3 in?

SOL 5.PS.3 belongs to the Probability and Statistics reporting strand of the Grade 5 Math Virginia Standards of Learning.

How do I study and practice for SOL 5.PS.3?

Start with a diagnostic to see whether 5.PS.3 is already solid, then work the 2 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.