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The 0-to-1 Probability Scale

Understand probability as a measure expressed as a number between 0 (impossible) and 1 (certain); place events on the probability scale; express probabilities as fractions, decimals, and percentages

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What a learner can do afterwards

  • Place events on a number line from 0 (impossible) to 1 (certain), expressing positions as fractions or decimals
  • Explain that a probability of 0.5 means 'even chance' and connect this to the informal word 'likely'
  • Convert between informal language ('very unlikely') and a numerical position on the 0-to-1 scale

The lesson

Probability is a number that tells you how likely something is to happen. It always sits somewhere between 0 and 1. An event that can never happen has a probability of 0. An event that will always happen has a probability of 1.

012345678910
0 tenths is 0: impossible. 5 tenths is 0.5: an even chance. 10 tenths is 1: certain.
Try it together

A weather app shows a 5 in 10 chance of rain today. That's the same as 0.5. Because 0.5 sits right in the middle of the scale, rain and no rain are equally likely - an even chance.

Tap to shade 1 of the 2 parts.
Half shaded is 1 out of 2, which is 0.5, or 50%. That's an even chance.
Good to know

You can write the same probability three ways: as a fraction like 1/2, as a decimal like 0.5, or as a percent like 50%. Numbers close to 0 mean 'very unlikely.' Numbers close to 1 mean 'very likely.'

Every probability lands somewhere between 0 (impossible) and 1 (certain), and that same spot can be written as a fraction, a decimal, or a percent.

Watch it

Where it sits

Where this leads

Jobs that lean on this skill. Follow one to see everything it is built on.

Then practise

8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.

The 0-to-1 Probability Scale · Mathematics, ages 10 to 11 · LightMySky