Probability Worksheets

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Chance in simple words, then spinners, coins and probability as a fraction, for 3rd to 5th grade with answer keys.

Download the probability worksheets

Certain, likely, unlikely, impossible

A words chart, then bags of shapes: is picking a star certain, likely, unlikely or impossible?

  • Preview of the printable “Certain, Likely, Unlikely, Impossible, sheet A” worksheet: deciding if picking a shape from a bag is certain, likely, unlikely or impossibleView all 2 pages

    Certain, Likely, Unlikely, Impossible, sheet A

    Deciding if picking a shape from a bag is certain, likely, unlikely or impossible

    Answer key on page 2

    2 pages43 KB

  • Preview of the printable “Certain, Likely, Unlikely, Impossible, sheet B” worksheet: deciding if picking a shape from a bag is certain, likely, unlikely or impossibleView all 2 pages

    Certain, Likely, Unlikely, Impossible, sheet B

    Deciding if picking a shape from a bag is certain, likely, unlikely or impossible

    Answer key on page 2

    2 pages43 KB

Spinners and coins

Find the most and least likely result on spinners with equal parts, and list the outcomes of flipping coins.

Probability as a fraction

Compare two bags as fractions, write chances as fractions in simplest form, and design spinners to match given chances.

About these probability worksheets

Probability is how likely something is to happen. These worksheets start with words children already use (certain, likely, unlikely, impossible) and move toward writing a chance as a fraction.

The pictures are bags of shapes and spinners with equal parts, drawn in black and white, so every chance can be counted right on the page. Every answer is worked out from the counts.

Probability is formally taught in middle school, but the ideas fit well with 3rd grade data, 4th grade fraction comparing and 5th grade fractions.

Standards

  • CCSS.MATH.CONTENT.7.SP.C.5Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
  • CCSS.MATH.CONTENT.4.NF.A.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

How to use them

  1. Start with the words chart and talk through each bag before any practice.
  2. Make the bags real: put shapes or counters in a paper bag and pick without looking.
  3. Spin a real spinner (a pencil and a paper clip on the printed spinner works) and tally 20 spins.
  4. In 5th grade, write each chance as a fraction, then compare fractions to decide which is more likely.

Teaching tips

  • Count everything in the bag first. The chance depends on how many there are in all, not only on how many match.
  • Likely means more than half; unlikely means less than half.
  • On a spinner, a chance only works out from the count of parts when every part is the same size.
  • When two bags have different totals, compare fractions, not counts: 3 out of 5 is more likely than 4 out of 8.

Questions teachers and parents ask

When do children learn probability?

The Common Core standards place probability in 7th grade, but younger children can describe chance with words like likely and unlikely. These sheets use counting and fractions children already know.

What is the probability of flipping heads?

A coin has two sides that are equally likely, so the chance of heads is 1 out of 2, or 1/2.

How do you write a probability as a fraction?

Put the number of ways the thing can happen over the number of things in all. A bag with 3 stars and 9 shapes in all gives a 3/9 chance of a star, which is 1/3 in simplest form.