Probability Basics Worksheets

Three models, described in plain English

Questions read like what is the probability of rolling a number greater than 4? No P(X > 4) anywhere. At this stage the notation is a second thing to learn and it gets squarely in the way of the first.

Spinners are described in the question itself: a spinner split into six equal sectors, two of them red. The sector count varies from three to eight between problems, so a pupil cannot settle into one denominator and stop thinking about where it came from.

Two skills, and only one of them is probability

The first is identifying the sample space. How many outcomes are there, and how many of them count? On a die, greater than 4 means two outcomes out of six, and getting that far is the actual probability work.

The second is reducing 2/6 to 1/3. That is fraction work, attached. Pupils lose marks there having done the probability perfectly, so mark the two separately in your head or you will not know which one actually failed.

Every answer on the key is given in lowest terms, so the key doubles as a reminder that reducing is expected.

Fraction, decimal, percentage, or all three

The output format is the setting that turns this from a probability sheet into a cross-topic one.

Choose All and each answer prints three ways at once. 1/4, then 0.25, then 25%. The sheet now teaches equivalence directly, and it does it with numbers the pupil derived a minute earlier rather than with a conversion table handed to them.

Thirds are the interesting case. 1/3 as a decimal does not terminate, and how you want that written is a conversation worth having with the class before they meet it on a sheet rather than after.

Use real dice alongside it

The strongest version of this lesson is the worksheet plus an actual die and an actual coin on the table.

Work out the theoretical probability on paper. Then roll thirty times and tally. The results will not match, and that mismatch is the most important idea in early probability: a one-in-six chance does not mean one in every six. Children find it genuinely surprising, and it is very hard to convey from a page alone.

What is not here

Fair coins, fair dice, equal-sector spinners. Nothing weighted, and no compound events, so there are no questions about two dice or about drawing without replacement.

That is the right scope for a first probability sheet. Compound events need tree diagrams and a different kind of page, and mixing them in here would make a sheet that looks approachable and is not.