Grade 6 Probability Worksheets — Free Printable PDF
By Grade 6 a child can write the chance of something happening. These sheets add the two ideas that follow from it: the chance of something not happening, and what a probability predicts over a long run of tries.
The first is a genuine shift of view — a spinner with five red sections out of twelve misses red seven times in twelve, and noticing that the two fractions add to one is the whole idea. The second turns a probability back into a count: a spinner with one red section in four, spun forty times, should stop on red about ten times.
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Probability · Grade 6
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Grade 6 · 3 pages · A4More Grade 6 probability skills
Each one generates a different kind of question, with its own three levels and answer key.
What each level generates
Grade 6 the chance it does not happen — the exact skill behind each difficulty setting, straight from the generator.
- Level 1One colour ruled out
- Level 2Ruled out of three
- Level 3Neither of two
Grade levels follow the progression common to most English-language curricula — not one specific national curriculum. Every level shows exactly what it generates, so you can check the fit with your own program. See the full scope & sequence →
Not happening is not the same as happening less
The complement trips up more children than it looks like it should, because the arithmetic is easy and the reading is not. "Does not stop on red" means every other section counts, including ones the question never names. On the three-colour and four-colour levels that is exactly what is being tested: a child who subtracts only the colour they can see gets the wrong whole.
The most useful habit is to say the answer twice — once as the outcome ruled out and once as everything left. If those two do not add to one, something has gone missing.
Where Grade 6 probability sits in the curriculum
One point is worth being exact about. US Common Core does have a domain called Statistics and Probability at Grade 6, which makes it look as though probability is a sixth-grade Common Core topic. It is not: every standard in 6.SP is statistics — statistical questions, distributions, measures of centre and spread, dot plots and box plots. Common Core introduces probability at Grade 7.
The frameworks that do anchor this page are the Australian Curriculum's Year 6 strand, which puts probabilities on a 0-to-1 scale and compares observed results with expected ones, Ontario's Grade 6 expectations, and England's Key Stage 3, which spans Years 7 to 9 as a block rather than by year.
Frequently asked questions
▸Does Common Core cover probability in Grade 6?
No. Grade 6 has a domain named Statistics and Probability, but every standard under it is statistics — distributions, measures of centre and variability, dot plots and box plots. Common Core introduces probability at Grade 7. These sheets follow the Australian Year 6 and Ontario Grade 6 chance strands and England's Key Stage 3.
▸What is the probability of something not happening?
One minus the probability that it does. On these sheets it is worked out from the counts: if five of twelve equal sections are red, the arrow misses red on the other seven, so the probability is 7/12.
▸How is 'how many to expect' different from a probability?
A probability is a fraction; an expected count is a number of times. The second sub-skill goes from one to the other — a one-in-five chance over forty tries gives about eight. It is a prediction, not a promise, which is worth saying to a child who counts nine and thinks the sheet is wrong.
▸Are these questions about surveys?
No. Every question here is about a chance process — a spinner, a bag of counters — that has not happened yet. Questions about groups that have already been counted are on the Data Handling pages instead.
▸Is this worksheet generator free?
Yes — free, no sign-up, no watermark, and the link reprints the same sheet whenever you need it.