SEAGReady
Handling DataP6 level15 questions in the full course

Calculate Simple ProbabilitiesSEAG Practice Questions

Calculating probability as favourable outcomes ÷ total outcomes, expressing as fractions (and converting to decimals/percentages).

Where your child meets this in real life: Calculating chances with dice, cards, spinners, or selections

What your child needs to know

SEAGReady breaks calculate simple probabilities into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Apply the Probability Formula

    Calculate probability using favourable outcomes divided by total outcomes when the favourable outcome is directly stated

  2. 2

    Count Favourable Outcomes

    Calculate probability when favourable outcomes must be identified and counted based on a condition

Try these SEAG-style questions

Three free sample questions from our calculate simple probabilities course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Rachel picks one counter at random from the bag shown. What is the probability she picks a blue counter?

A bag containing two red counters, three blue counters and five yellow counters.
Answer choices for question 1
Question 2Confidence builder

The diagram shows the possible outcomes when Alice rolls a fair six-sided die. What is the probability of rolling a number greater than 4?

The six equally likely outcomes on a fair six-sided die, shown as the faces one to six.
Answer choices for question 2
Question 3Confidence builder

Dylan picks one marble at random from the bag shown. What is the probability of picking a green marble?

A bag containing four green marbles and six white marbles.
Answer choices for question 3

Try the lesson: Apply the Probability Formula

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Isla has a bag with 3 red counters, 2 blue counters, and 5 green counters. She picks one counter without looking.

What is the probability of picking a red counter?

P(red) = ?

List every possible outcome
1

Set up a table with a Counter column and a Red? column

Step 1 of 5

Prefer to read? See every step written out

Isla has a bag with 3 red counters, 2 blue counters, and 5 green counters. She picks one counter without looking.

What is the probability of picking a red counter?

  1. 1

    List every possible outcome

    • Set up a table with a Counter column and a Red? column
    • There are 3 red, 2 blue and 5 green counters
  2. 2

    Count the total outcomes

    • Add all the counters in the bag
    • Total counters3 + 2 + 5 = 10
  3. 3

    Apply the probability formula

    • Favourable outcomes (red) go on topP(red) = ³⁄₁₀

The probability of picking a red counter is ³⁄₁₀.

The key insight: Probability is always favourable on top, total on the bottom!

Common mix-up: P(red) = ¹⁰⁄₃ (total on top). The favourable outcomes must be the numerator, total outcomes the denominator.

Mistakes to watch for

These are the misconceptions we see most often in calculate simple probabilities, including the ones our practice questions are specifically designed to catch.

  • Putting total outcomes as numerator
  • Not simplifying fractions

Build these skills first

Struggling with calculate simple probabilities? The real gap is often in one of these earlier topics.

More handling data practice

15 questions on this topic alone

Master calculate simple probabilities and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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