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Year 10 Foundation · Probability

Work out the chance of a single outcome

Definition

Probability measures how likely an event is, on a scale from 0 (impossible) to 1 (certain). It is the number of ways the event can happen divided by the total number of equally likely outcomes.

Why Do I Have to Learn This?

Probability measures how likely something is, from coin flips to weather forecasts. It helps you judge risk and chance sensibly.

Key Rules:

  • 1. Probability = favourable outcomes ÷ total outcomes.
  • 2. All the probabilities of an event add up to 1.
  • 3. P(not happening) = 1 − P(happening).

Remember:

  • A probability can never be more than 1 or less than 0.
  • "Even chance" means a probability of ½, or 0.5.
  • Past results do not change a fair future event, a coin has no memory.

Event

Something that might happen, made up of one or more outcomes.

“Rolling an even number” is an event made of the outcomes 2, 4 and 6.

Animated Example:

0 no chance½ even1 certain
2 out of 8 chance = 0.25

Free Work out the chance of a single outcome Worksheet

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Every download has a fresh set of questions.

Let’s Practise the Concept

Step 1 of 3

Put them in order

Tap the numbers from smallest to largest.

In order so far: nothing yet